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10131396968 = 23711160110273
BaseRepresentation
bin10010110111110000…
…01101100101101000
3222011002000021212202
421123320031211220
5131222114200333
64353154555332
7506031311330
oct113370154550
928132007782
1010131396968
114329a00550
121b68b98b48
13c55ca4a64
146c17a80c0
153e46b55e8
hex25be0d968

10131396968 has 64 divisors (see below), whose sum is σ = 23700885120. Its totient is φ = 3944448000.

The previous prime is 10131396953. The next prime is 10131396991. The reversal of 10131396968 is 86969313101.

It is a happy number.

10131396968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 981080 + ... + 991352.

It is an arithmetic number, because the mean of its divisors is an integer number (370326330).

Almost surely, 210131396968 is an apocalyptic number.

It is an amenable number.

10131396968 is an abundant number, since it is smaller than the sum of its proper divisors (13569488152).

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

10131396968 is a wasteful number, since it uses less digits than its factorization.

10131396968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11898 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The spelling of 10131396968 in words is "ten billion, one hundred thirty-one million, three hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1601 3202 6404 10273 11207 12808 17611 20546 22414 35222 41092 44828 70444 71911 82184 89656 113003 123277 140888 143822 226006 246554 287644 452012 493108 575288 791021 904024 986216 1582042 3164084 6328168 16447073 32894146 65788292 115129511 131576584 180917803 230259022 361835606 460518044 723671212 921036088 1266424621 1447342424 2532849242 5065698484 10131396968