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10110322131 = 371337034147
BaseRepresentation
bin10010110101001111…
…10100010111010011
3222002121100120122020
421122213310113103
5131201220302011
64351123142523
7505354214550
oct113247642723
928077316566
1010110322131
114319016728
121b61b14a43
13c51806340
146bca7da27
153e2901006
hex25a9f45d3

10110322131 has 16 divisors (see below), whose sum is σ = 16591298304. Its totient is φ = 5332917024.

The previous prime is 10110322109. The next prime is 10110322133. The reversal of 10110322131 is 13122301101.

It is a happy number.

It is not a de Polignac number, because 10110322131 - 27 = 10110322003 is a prime.

It is a super-3 number, since 3×101103221313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10110322131.

It is not an unprimeable number, because it can be changed into a prime (10110322133) 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 15 ways as a sum of consecutive naturals, for example, 18516801 + ... + 18517346.

It is an arithmetic number, because the mean of its divisors is an integer number (1036956144).

Almost surely, 210110322131 is an apocalyptic number.

10110322131 is a deficient number, since it is larger than the sum of its proper divisors (6480976173).

10110322131 is a wasteful number, since it uses less digits than its factorization.

10110322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034170.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10110322131 its reverse (13122301101), we get a palindrome (23232623232).

The spelling of 10110322131 in words is "ten billion, one hundred ten million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 37034147 111102441 259239029 481443911 777717087 1444331733 3370107377 10110322131