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10000313112312 = 23327910117407349
BaseRepresentation
bin1001000110000110000100…
…0111000101011011111000
31022102000120000102000011200
42101201201013011123320
52302321120124043222
633134025212054200
72051333036635215
oct221414107053370
938360500360150
1010000313112312
113206122053a26
121156164764360
13577043c97693
14268036956b0c
151251e7691eac
hex918611c56f8

10000313112312 has 96 divisors (see below), whose sum is σ = 27698575320000. Its totient is φ = 3258655545600.

The previous prime is 10000313112221. The next prime is 10000313112319. The reversal of 10000313112312 is 21321131300001.

10000313112312 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 31 + 311 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000313112319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8129187 + ... + 9278162.

It is an arithmetic number, because the mean of its divisors is an integer number (288526826250).

Almost surely, 210000313112312 is an apocalyptic number.

10000313112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000313112312 is an abundant number, since it is smaller than the sum of its proper divisors (17698262207688).

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

10000313112312 is a wasteful number, since it uses less digits than its factorization.

10000313112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407541 (or 17407534 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10000313112312 its reverse (21321131300001), we get a palindrome (31321444412313).

The spelling of 10000313112312 in words is "ten trillion, three hundred thirteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 101 158 202 237 303 316 404 474 606 632 711 808 909 948 1212 1422 1818 1896 2424 2844 3636 5688 7272 7979 15958 23937 31916 47874 63832 71811 95748 143622 191496 287244 574488 17407349 34814698 52222047 69629396 104444094 139258792 156666141 208888188 313332282 417776376 626664564 1253329128 1375180571 1758142249 2750361142 3516284498 4125541713 5274426747 5500722284 7032568996 8251083426 10548853494 11001444568 12376625139 14065137992 15823280241 16502166852 21097706988 24753250278 31646560482 33004333704 42195413976 49506500556 63293120964 99013001112 126586241928 138893237671 277786475342 416679713013 555572950684 833359426026 1111145901368 1250039139039 1666718852052 2500078278078 3333437704104 5000156556156 10000313112312