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203202113220 = 223254343160913
BaseRepresentation
bin1011110100111111001…
…0100010111011000100
3201102111111121220001100
42331033302202323010
511312124220110340
6233203314300100
720452352315031
oct2751762427304
9642444556040
10203202113220
11791a5328267
123346bb87630
131621484a822
149b9949a388
15544463d830
hex2f4fca2ec4

203202113220 has 144 divisors (see below), whose sum is σ = 632187908352. Its totient is φ = 52803394560.

The previous prime is 203202113189. The next prime is 203202113221. The reversal of 203202113220 is 22311202302.

203202113220 is a `hidden beast` number, since 2 + 0 + 320 + 21 + 1 + 322 + 0 = 666.

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 = 203202113193 and 203202113202.

It is not an unprimeable number, because it can be changed into a prime (203202113221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3305484 + ... + 3366396.

It is an arithmetic number, because the mean of its divisors is an integer number (4390193808).

Almost surely, 2203202113220 is an apocalyptic number.

203202113220 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 203202113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316093954176).

203202113220 is an abundant number, since it is smaller than the sum of its proper divisors (428985795132).

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

203202113220 is a wasteful number, since it uses less digits than its factorization.

203202113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61402 (or 61397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203202113220 its reverse (22311202302), we get a palindrome (225513315522).

The spelling of 203202113220 in words is "two hundred three billion, two hundred two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 431 516 645 774 860 862 1290 1293 1548 1724 1935 2155 2580 2586 3870 3879 4310 5172 6465 7740 7758 8620 12930 15516 18533 19395 25860 37066 38790 55599 60913 74132 77580 92665 111198 121826 166797 182739 185330 222396 243652 277995 304565 333594 365478 370660 548217 555990 609130 667188 730956 833985 913695 1096434 1111980 1218260 1667970 1827390 2192868 2619259 2741085 3335940 3654780 5238518 5482170 7857777 10477036 10964340 13096295 15715554 23573331 26192590 26253503 31431108 39288885 47146662 52385180 52507006 78577770 78760509 94293324 105014012 117866655 131267515 157155540 157521018 235733310 236281527 262535030 315042036 393802545 471466620 472563054 525070060 787605090 945126108 1128900629 1181407635 1575210180 2257801258 2362815270 3386701887 4515602516 4725630540 5644503145 6773403774 10160105661 11289006290 13546807548 16933509435 20320211322 22578012580 33867018870 40640422644 50800528305 67734037740 101601056610 203202113220