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231234105312 = 25327114699457
BaseRepresentation
bin1101011101011010100…
…0000110111111100000
3211002212002202122002200
43113112220012333200
512242031412332222
6254121045213200
722464124315350
oct3272650067740
9732762678080
10231234105312
118a07a695881
1238993a01200
1318a6128a1b2
14b2983b6b60
1560355c3eac
hex35d6a06fe0

231234105312 has 72 divisors (see below), whose sum is σ = 751510848816. Its totient is φ = 66066886656.

The previous prime is 231234105269. The next prime is 231234105313. The reversal of 231234105312 is 213501432132.

231234105312 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 341 + 0 + 5 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2312341053122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231234105313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57347713 + ... + 57351744.

It is an arithmetic number, because the mean of its divisors is an integer number (10437650678).

Almost surely, 2231234105312 is an apocalyptic number.

It is an amenable number.

231234105312 is an abundant number, since it is smaller than the sum of its proper divisors (520276743504).

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

231234105312 is a wasteful number, since it uses less digits than its factorization.

231234105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114699480 (or 114699469 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 231234105312 its reverse (213501432132), we get a palindrome (444735537444).

The spelling of 231234105312 in words is "two hundred thirty-one billion, two hundred thirty-four million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 114699457 229398914 344098371 458797828 688196742 802896199 917595656 1032295113 1376393484 1605792398 1835191312 2064590226 2408688597 2752786968 3211584796 3670382624 4129180452 4817377194 5505573936 6423169592 7226065791 8258360904 9634754388 11011147872 12846339184 14452131582 16516721808 19269508776 25692678368 28904263164 33033443616 38539017552 57808526328 77078035104 115617052656 231234105312