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201121202201020 = 225173617516718233
BaseRepresentation
bin101101101110101100101101…
…110100000110000110111100
3222101002222222101101020022121
4231232230231310012012330
5202330132210230413040
61551425445455452324
760235345610632303
oct5556545564060674
9871088871336277
10201121202201020
11590a1028472822
121a6827778270a4
13882b85682701a
143794464d1743a
15183b9560cdc4a
hexb6eb2dd061bc

201121202201020 has 96 divisors (see below), whose sum is σ = 425590053251328. Its totient is φ = 79833994555392.

The previous prime is 201121202200987. The next prime is 201121202201197. The reversal of 201121202201020 is 20102202121102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201121202200985 and 201121202201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11030605824 + ... + 11030624056.

It is an arithmetic number, because the mean of its divisors is an integer number (4433229721368).

Almost surely, 2201121202201020 is an apocalyptic number.

201121202201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121202201020 is an abundant number, since it is smaller than the sum of its proper divisors (224468851050308).

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

201121202201020 is a wasteful number, since it uses less digits than its factorization.

201121202201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24199 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201121202201020 its reverse (20102202121102), we get a palindrome (221223404322122).

The spelling of 201121202201020 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 617 692 865 1234 1730 2468 3085 3460 5167 6170 10334 12340 18233 20668 25835 36466 51670 72932 91165 103340 106741 182330 213482 364660 426964 533705 893891 1067410 1787782 2134820 3154309 3188039 3575564 4469455 6308618 6376078 8938910 11249761 12617236 12752156 15771545 15940195 17877820 22499522 31543090 31880390 44999044 56248805 63086180 63760780 94209911 112497610 188419822 224995220 376839644 471049555 551530747 942099110 1103061494 1884198220 1946208653 2206122988 2757653735 3892417306 5515307470 7784834612 9731043265 11030614940 16298314603 19462086530 32596629206 38924173060 58127515087 65193258412 81491573015 116255030174 162983146030 232510060348 290637575435 325966292060 581275150870 1162550301740 10056060110051 20112120220102 40224240440204 50280300550255 100560601100510 201121202201020