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10456260131 = 531571256611
BaseRepresentation
bin10011011110011110…
…11101111000100011
3222222201022001100202
421233033131320203
5132403300311011
64445321535415
7520054513262
oct115717357043
928881261322
1010456260131
114486316aa9
12203994456b
13ca8399695
147129b05d9
15412e8623b
hex26f3dde23

10456260131 has 8 divisors (see below), whose sum is σ = 10721413584. Its totient is φ = 10193620320.

The previous prime is 10456260121. The next prime is 10456260151. The reversal of 10456260131 is 13106265401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10456260131 is a prime.

It is a super-2 number, since 2×104562601312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10456260094 and 10456260103.

It is not an unprimeable number, because it can be changed into a prime (10456260121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619985 + ... + 636626.

It is an arithmetic number, because the mean of its divisors is an integer number (1340176698).

Almost surely, 210456260131 is an apocalyptic number.

10456260131 is a deficient number, since it is larger than the sum of its proper divisors (265153453).

10456260131 is a wasteful number, since it uses less digits than its factorization.

10456260131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256821.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 10456260131 in words is "ten billion, four hundred fifty-six million, two hundred sixty thousand, one hundred thirty-one".

Divisors: 1 53 157 8321 1256611 66600383 197287927 10456260131