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31657002112 = 27836074909
BaseRepresentation
bin11101011110111001…
…111000010010000000
310000201020020022221201
4131132321320102000
51004313143031422
622313143230544
72200330035541
oct353671702200
9100636208851
1031657002112
111247560926a
126175a48454
132ca6768418
14176453a4c8
15c54337727
hex75ee78480

31657002112 has 64 divisors (see below), whose sum is σ = 63944697600. Its totient is φ = 15608853504.

The previous prime is 31657002107. The next prime is 31657002121. The reversal of 31657002112 is 21120075613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 6446314 + ... + 6451222.

It is an arithmetic number, because the mean of its divisors is an integer number (999135900).

Almost surely, 231657002112 is an apocalyptic number.

31657002112 is a gapful number since it is divisible by the number (32) 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 31657002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972348800).

31657002112 is an abundant number, since it is smaller than the sum of its proper divisors (32287695488).

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

31657002112 is an equidigital number, since it uses as much as digits as its factorization.

31657002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 31657002112 its reverse (21120075613), we get a palindrome (52777077725).

The spelling of 31657002112 in words is "thirty-one billion, six hundred fifty-seven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 607 664 1214 1328 2428 2656 4856 4909 5312 9712 9818 10624 19424 19636 38848 39272 50381 77696 78544 100762 157088 201524 314176 403048 407447 628352 806096 814894 1612192 1629788 2979763 3224384 3259576 5959526 6448768 6519152 11919052 13038304 23838104 26076608 47676208 52153216 95352416 190704832 247320329 381409664 494640658 989281316 1978562632 3957125264 7914250528 15828501056 31657002112