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204101831232 = 26321327257189
BaseRepresentation
bin1011111000010101101…
…0101100101001000000
3201111211012121022010200
42332011122230221000
511321000032044412
6233432454325200
720513555640435
oct2760532545100
9644735538120
10204101831232
1179617187772
1233681359800
1316329075a50
149c42b81b8c
1554986119dc
hex2f856aca40

204101831232 has 84 divisors (see below), whose sum is σ = 630022689660. Its totient is φ = 62800561152.

The previous prime is 204101831177. The next prime is 204101831299. The reversal of 204101831232 is 232138101402.

204101831232 is a `hidden beast` number, since 2 + 0 + 410 + 18 + 3 + 1 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11437019136 + 192664812096 = 106944^2 + 438936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204101831196 and 204101831205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13621107 + ... + 13636082.

It is an arithmetic number, because the mean of its divisors is an integer number (7500270115).

Almost surely, 2204101831232 is an apocalyptic number.

It is an amenable number.

204101831232 is an abundant number, since it is smaller than the sum of its proper divisors (425920858428).

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

204101831232 is a wasteful number, since it uses less digits than its factorization.

204101831232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27257220 (or 27257207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 204101831232 its reverse (232138101402), we get a palindrome (436239932634).

The spelling of 204101831232 in words is "two hundred four billion, one hundred one million, eight hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 27257189 54514378 81771567 109028756 163543134 218057512 245314701 327086268 354343457 436115024 490629402 654172536 708686914 872230048 981258804 1063030371 1308345072 1417373828 1744460096 1962517608 2126060742 2616690144 2834747656 3189091113 3925035216 4252121484 5233380288 5669495312 6378182226 7850070432 8504242968 11338990624 12756364452 15700140864 17008485936 22677981248 25512728904 34016971872 51025457808 68033943744 102050915616 204101831232