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131312244041 = 11191135560073
BaseRepresentation
bin111101001001011010…
…0011101010101001001
3110112221101011011000222
41322102310131111021
54122411413302131
6140153553035425
712326016441506
oct1722264352511
9415841134028
10131312244041
115076437a540
1221548255b75
13c4c8a088b4
1464d98964ad
15363817187b
hex1e92d1d549

131312244041 has 16 divisors (see below), whose sum is σ = 152123624640. Its totient is φ = 112091051520.

The previous prime is 131312244001. The next prime is 131312244199. The reversal of 131312244041 is 140442213131.

It is a cyclic number.

It is not a de Polignac number, because 131312244041 - 222 = 131308049737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131312244041.

It is not an unprimeable number, because it can be changed into a prime (131312244001) 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, 2756420 + ... + 2803653.

It is an arithmetic number, because the mean of its divisors is an integer number (9507726540).

Almost surely, 2131312244041 is an apocalyptic number.

131312244041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131312244041 is a deficient number, since it is larger than the sum of its proper divisors (20811380599).

131312244041 is a wasteful number, since it uses less digits than its factorization.

131312244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560216.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131312244041 its reverse (140442213131), we get a palindrome (271754457172).

The spelling of 131312244041 in words is "one hundred thirty-one billion, three hundred twelve million, two hundred forty-four thousand, forty-one".

Divisors: 1 11 19 113 209 1243 2147 23617 5560073 61160803 105641387 628288249 1162055257 6911170739 11937476731 131312244041