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10123530131 = 111370793917
BaseRepresentation
bin10010110110110100…
…01100111110010011
3222010112012121121102
421123122030332103
5131213110431011
64352314215015
7505604405051
oct113332147623
928115177542
1010123530131
114325518030
121b6642446b
13c5447c120
146c071b1d1
153e3b5e73b
hex25b68cf93

10123530131 has 8 divisors (see below), whose sum is σ = 11893378224. Its totient is φ = 8495269920.

The previous prime is 10123530127. The next prime is 10123530181. The reversal of 10123530131 is 13103532101.

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

It is a cyclic number.

It is not a de Polignac number, because 10123530131 - 22 = 10123530127 is a prime.

It is a super-2 number, since 2×101235301312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10123530121) 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 7 ways as a sum of consecutive naturals, for example, 35396816 + ... + 35397101.

It is an arithmetic number, because the mean of its divisors is an integer number (1486672278).

Almost surely, 210123530131 is an apocalyptic number.

10123530131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10123530131 is a deficient number, since it is larger than the sum of its proper divisors (1769848093).

10123530131 is a wasteful number, since it uses less digits than its factorization.

10123530131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70793941.

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 10123530131 in words is "ten billion, one hundred twenty-three million, five hundred thirty thousand, one hundred thirty-one".

Divisors: 1 11 13 143 70793917 778733087 920320921 10123530131