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3131231222112 = 25374799139793
BaseRepresentation
bin101101100100001011111…
…011001011100101100000
3102002100020212222002021220
4231210023323023211200
5402300230143101422
610354245012015040
7442136554145220
oct55441373134540
912070225862256
103131231222112
11aa7a47437244
12426a2b001480
1319937380b216
14ab7a3adc080
15566b570de5c
hex2d90becb960

3131231222112 has 96 divisors (see below), whose sum is σ = 9593559585792. Its totient is φ = 875602642944.

The previous prime is 3131231222089. The next prime is 3131231222173. The reversal of 3131231222112 is 2112221321313.

3131231222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a nude number because it is divisible by every one of its digits.

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, 49538313 + ... + 49601480.

It is an arithmetic number, because the mean of its divisors is an integer number (99932912352).

Almost surely, 23131231222112 is an apocalyptic number.

3131231222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3131231222112 is an abundant number, since it is smaller than the sum of its proper divisors (6462328363680).

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

3131231222112 is a wasteful number, since it uses less digits than its factorization.

3131231222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99139860 (or 99139852 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 3131231222112 its reverse (2112221321313), we get a palindrome (5243452543425).

The spelling of 3131231222112 in words is "three trillion, one hundred thirty-one billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 99139793 198279586 297419379 396559172 594838758 693978551 793118344 1189677516 1387957102 1586236688 2081935653 2379355032 2775914204 3172473376 4163871306 4659570271 4758710064 5551828408 8327742612 9319140542 9517420128 11103656816 13978710813 16655485224 18638281084 22207313632 27957421626 32616991897 33310970448 37276562168 55914843252 65233983794 66621940896 74553124336 97850975691 111829686504 130467967588 149106248672 195701951382 223659373008 260935935176 391403902764 447318746016 521871870352 782807805528 1043743740704 1565615611056 3131231222112