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31506134112 = 2533271313441
BaseRepresentation
bin11101010101111010…
…010111010001100000
310000022201100102222000
4131111322113101200
51004011032242422
622250153444000
72163515502255
oct352572272140
9100281312860
1031506134112
11123a8433972
126133410600
132c8142440b
14174c4a742c
15c45e85cac
hex755e97460

31506134112 has 96 divisors (see below), whose sum is σ = 91933601760. Its totient is φ = 10497392640.

The previous prime is 31506134089. The next prime is 31506134147. The reversal of 31506134112 is 21143160513.

It is a happy number.

31506134112 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 613 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337312 + ... + 2350752.

It is an arithmetic number, because the mean of its divisors is an integer number (957641685).

Almost surely, 231506134112 is an apocalyptic number.

31506134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31506134112 is an abundant number, since it is smaller than the sum of its proper divisors (60427467648).

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

31506134112 is a wasteful number, since it uses less digits than its factorization.

31506134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16173 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 31506134112 its reverse (21143160513), we get a palindrome (52649294625).

The spelling of 31506134112 in words is "thirty-one billion, five hundred six million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2713 5426 8139 10852 13441 16278 21704 24417 26882 32556 40323 43408 48834 53764 65112 73251 80646 86816 97668 107528 120969 130224 146502 161292 195336 215056 241938 260448 293004 322584 362907 390672 430112 483876 586008 645168 725814 781344 967752 1172016 1290336 1451628 1935504 2344032 2903256 3871008 5806512 11613024 36465433 72930866 109396299 145861732 218792598 291723464 328188897 437585196 583446928 656377794 875170392 984566691 1166893856 1312755588 1750340784 1969133382 2625511176 3500681568 3938266764 5251022352 7876533528 10502044704 15753067056 31506134112