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10113022031 = 710115319343
BaseRepresentation
bin10010110101100100…
…00111100001001111
3222002210102202012112
421122302013201033
5131202413201111
64351301054235
7505416161150
oct113262074117
928083382175
1010113022031
11431a5a0152
121b629b737b
13c52240208
146bd183927
153e2c85e8b
hex25ac8784f

10113022031 has 16 divisors (see below), whose sum is σ = 11681046528. Its totient is φ = 8575956000.

The previous prime is 10113021983. The next prime is 10113022091. The reversal of 10113022031 is 13022031101.

10113022031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10113022031 - 26 = 10113021967 is a prime.

It is a super-2 number, since 2×101130220312 (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 = 10113021997 and 10113022015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113022091) by changing a digit.

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, 1077746 + ... + 1087088.

It is an arithmetic number, because the mean of its divisors is an integer number (730065408).

Almost surely, 210113022031 is an apocalyptic number.

10113022031 is a deficient number, since it is larger than the sum of its proper divisors (1568024497).

10113022031 is a wasteful number, since it uses less digits than its factorization.

10113022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10113022031 its reverse (13022031101), we get a palindrome (23135053132).

It can be divided in two parts, 101 and 13022031, that multiplied together give a palindrome (1315225131).

The spelling of 10113022031 in words is "ten billion, one hundred thirteen million, twenty-two thousand, thirty-one".

Divisors: 1 7 101 707 1531 9343 10717 65401 154631 943643 1082417 6605501 14304133 100128931 1444717433 10113022031