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231597795132 = 2233111391402501
BaseRepresentation
bin1101011110110001001…
…1011110011100111100
3211010210110002222202000
43113230103132130330
512243303013421012
6254221120302300
722506131530464
oct3275423363474
9733713088660
10231597795132
118a246a10380
1238a75771990
1318abb727582
14b2d0808ba4
1560574b3ddc
hex35ec4de73c

231597795132 has 96 divisors (see below), whose sum is σ = 659736940800. Its totient is φ = 69676200000.

The previous prime is 231597795131. The next prime is 231597795139.

It is a happy number.

231597795132 is a `hidden beast` number, since 2 + 3 + 1 + 59 + 7 + 79 + 513 + 2 = 666.

231597795132 is nontrivially palindromic in base 10.

231597795132 is digitally balanced in base 7, because in such base 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231597795131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536119 + ... + 866382.

It is an arithmetic number, because the mean of its divisors is an integer number (6872259800).

Almost surely, 2231597795132 is an apocalyptic number.

231597795132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231597795132 is an abundant number, since it is smaller than the sum of its proper divisors (428139145668).

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

231597795132 is a wasteful number, since it uses less digits than its factorization.

231597795132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402664 (or 1402656 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 231597795132 in words is "two hundred thirty-one billion, five hundred ninety-seven million, seven hundred ninety-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 139 198 278 297 396 417 556 594 834 1188 1251 1529 1668 2502 3058 3753 4587 5004 6116 7506 9174 13761 15012 18348 27522 41283 55044 82566 165132 1402501 2805002 4207503 5610004 8415006 12622509 15427511 16830012 25245018 30855022 37867527 46282533 50490036 61710044 75735054 92565066 138847599 151470108 185130132 194947639 277695198 389895278 416542797 555390396 584842917 779790556 833085594 1169685834 1666171188 1754528751 2144424029 2339371668 3509057502 4288848058 5263586253 6433272087 7018115004 8577696116 10527172506 12866544174 19299816261 21054345012 25733088348 38599632522 57899448783 77199265044 115798897566 231597795132