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10131312401 = 71791992641
BaseRepresentation
bin10010110111101111…
…11000111100010001
3222011001211222212122
421123313320330101
5131222103444101
64353153104025
7506030506640
oct113367707421
928131758778
1010131312401
114329952a61
121b68b58015
13c55c75412
146c1785357
153e469a51b
hex25bdf8f11

10131312401 has 16 divisors (see below), whose sum is σ = 12273212160. Its totient is φ = 8164177920.

The previous prime is 10131312397. The next prime is 10131312409. The reversal of 10131312401 is 10421313101.

It is not a de Polignac number, because 10131312401 - 22 = 10131312397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131312401.

It is not an unprimeable number, because it can be changed into a prime (10131312409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63041 + ... + 155681.

It is an arithmetic number, because the mean of its divisors is an integer number (767075760).

Almost surely, 210131312401 is an apocalyptic number.

It is an amenable number.

10131312401 is a deficient number, since it is larger than the sum of its proper divisors (2141899759).

10131312401 is an equidigital number, since it uses as much as digits as its factorization.

10131312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93584.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10131312401 its reverse (10421313101), we get a palindrome (20552625502).

The spelling of 10131312401 in words is "ten billion, one hundred thirty-one million, three hundred twelve thousand, four hundred one".

Divisors: 1 7 17 119 919 6433 15623 92641 109361 648487 1574897 11024279 85137079 595959553 1447330343 10131312401