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131141141131 = 72111333156543
BaseRepresentation
bin111101000100010011…
…1110000001010001011
3110112111110012012222011
41322020213300022023
54122034113004011
6140125001440351
712321541210300
oct1721047601213
9415443165864
10131141141131
1150686834380
12214baaa00b7
13c49c42b580
1464c0c770a7
153628124621
hex1e889f028b

131141141131 has 48 divisors (see below), whose sum is σ = 179766494208. Its totient is φ = 94040654400.

The previous prime is 131141141111. The next prime is 131141141171.

131141141131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131141141131 - 231 = 128993657483 is a prime.

It is a super-2 number, since 2×1311411411312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141141101) 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 47 ways as a sum of consecutive naturals, for example, 2291046 + ... + 2347588.

It is an arithmetic number, because the mean of its divisors is an integer number (3745135296).

Almost surely, 2131141141131 is an apocalyptic number.

131141141131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131141141131 is a deficient number, since it is larger than the sum of its proper divisors (48625353077).

131141141131 is a wasteful number, since it uses less digits than its factorization.

131141141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56912 (or 56905 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

It can be divided in two parts, 131141 and 141131, that added together give a palindrome (272272).

The spelling of 131141141131 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 143 331 539 637 1001 2317 3641 4303 7007 16219 25487 30121 47333 56543 178409 210847 331331 395801 621973 735059 2319317 2770607 4353811 5145413 8085649 18715733 30476677 36017891 56599543 131010131 205873063 243304529 396196801 917070917 1441111441 1703131703 2676349819 10087780087 11921921921 18734448733 131141141131