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200202121112220 = 223258316977896529
BaseRepresentation
bin101101100001010100110000…
…010011111110101010011100
3222020212010200001011102000200
4231201110300103332222130
5202220102421001042340
61545443330150223500
760112061123366253
oct5541246023765234
9866763601142020
10200202121112220
1158877274122557
121a554619354b90
138792c95b7b636
143761b976c979a
151822ab384b330
hexb615304fea9c

200202121112220 has 144 divisors (see below), whose sum is σ = 614958635360160. Its totient is φ = 52712925216768.

The previous prime is 200202121112141. The next prime is 200202121112249. The reversal of 200202121112220 is 22211121202002.

It is a happy number.

200202121112220 is a `hidden beast` number, since 20 + 0 + 202 + 1 + 211 + 12 + 220 = 666.

200202121112220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200202121112193 and 200202121112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21404916 + ... + 29301444.

It is an arithmetic number, because the mean of its divisors is an integer number (4270546078890).

Almost surely, 2200202121112220 is an apocalyptic number.

200202121112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200202121112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307479317680080).

200202121112220 is an abundant number, since it is smaller than the sum of its proper divisors (414756514247940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200202121112220 is a wasteful number, since it uses less digits than its factorization.

200202121112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898324 (or 7898319 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200202121112220 its reverse (22211121202002), we get a palindrome (222413242314222).

The spelling of 200202121112220 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 1697 2490 2988 3394 3735 4980 5091 6788 7470 8485 10182 14940 15273 16970 20364 25455 30546 33940 50910 61092 76365 101820 140851 152730 281702 305460 422553 563404 704255 845106 1267659 1408510 1690212 2112765 2535318 2817020 4225530 5070636 6338295 7896529 8451060 12676590 15793058 23689587 25353180 31586116 39482645 47379174 71068761 78965290 94758348 118447935 142137522 157930580 236895870 284275044 355343805 473791740 655411907 710687610 1310823814 1421375220 1966235721 2621647628 3277059535 3932471442 5898707163 6554119070 7864942884 9831178605 11797414326 13108238140 13400409713 19662357210 23594828652 26800819426 29493535815 39324714420 40201229139 53601638852 58987071630 67002048565 80402458278 117974143260 120603687417 134004097130 160804916556 201006145695 241207374834 268008194260 402012291390 482414749668 603018437085 804024582780 1112234006179 1206036874170 2224468012358 2412073748340 3336702018537 4448936024716 5561170030895 6673404037074 10010106055611 11122340061790 13346808074148 16683510092685 20020212111222 22244680123580 33367020185370 40040424222444 50050530278055 66734040370740 100101060556110 200202121112220