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10079111881 = 1812292411009
BaseRepresentation
bin10010110001100001…
…10000101011001001
3222000102121221020001
421120300300223021
5131120223040011
64344050203001
7504525015556
oct113060605311
928012557201
1010079111881
114302439a33
121b53583461
13c481c9537
146b8877a2d
153decd87c1
hex258c30ac9

10079111881 has 16 divisors (see below), whose sum is σ = 10231421200. Its totient is φ = 9928396800.

The previous prime is 10079111869. The next prime is 10079111897. The reversal of 10079111881 is 18811197001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22231225 + 10056880656 = 4715^2 + 100284^2 .

It is a cyclic number.

It is not a de Polignac number, because 10079111881 - 217 = 10078980809 is a prime.

It is a super-2 number, since 2×100791118812 (a number of 21 digits) contains 22 as substring.

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 10079111881.

It is not an unprimeable number, because it can be changed into a prime (10079111851) 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, 9988705 + ... + 9989713.

It is an arithmetic number, because the mean of its divisors is an integer number (639463825).

Almost surely, 210079111881 is an apocalyptic number.

It is an amenable number.

10079111881 is a deficient number, since it is larger than the sum of its proper divisors (152309319).

10079111881 is a wasteful number, since it uses less digits than its factorization.

10079111881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 4032, while the sum is 37.

The spelling of 10079111881 in words is "ten billion, seventy-nine million, one hundred eleven thousand, eight hundred eighty-one".

Divisors: 1 181 229 241 1009 41449 43621 55189 182629 231061 243169 9989209 41822041 44013589 55685701 10079111881