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131112244131 = 31153101742219
BaseRepresentation
bin111101000011011100…
…1100001001110100011
3110112102102211002201220
41322012321201032203
54122004213303011
6140122050230123
712321040454421
oct1720671411643
9415372732656
10131112244131
1150671497660
12214b1285343
13c49645165b
1464bb0b4111
153625817506
hex1e86e613a3

131112244131 has 32 divisors (see below), whose sum is σ = 196231092480. Its totient is φ = 77190672000.

The previous prime is 131112244129. The next prime is 131112244139. The reversal of 131112244131 is 131442211131.

It is not a de Polignac number, because 131112244131 - 21 = 131112244129 is a prime.

It is a super-2 number, since 2×1311122441312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131112244139) 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 31 ways as a sum of consecutive naturals, for example, 194461 + ... + 547758.

It is an arithmetic number, because the mean of its divisors is an integer number (6132221640).

Almost surely, 2131112244131 is an apocalyptic number.

131112244131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131112244131 is a deficient number, since it is larger than the sum of its proper divisors (65118848349).

131112244131 is a wasteful number, since it uses less digits than its factorization.

131112244131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742387.

The product of its digits is 576, while the sum is 24.

Adding to 131112244131 its reverse (131442211131), we get a palindrome (262554455262).

The spelling of 131112244131 in words is "one hundred thirty-one billion, one hundred twelve million, two hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 53 101 159 303 583 1111 1749 3333 5353 16059 58883 176649 742219 2226657 8164409 24493227 39337607 74964119 118012821 224892357 432713677 824605309 1298141031 2473815927 3973098307 11919294921 43704081377 131112244131