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131111110260 = 223251356030389
BaseRepresentation
bin111101000011011010…
…1001100011001110100
3110112102100200111100200
41322012311030121310
54122003421012020
6140122010040500
712321025022604
oct1720665143164
9415370614320
10131111110260
1150670892779
12214b0a19130
13c496145520
1464bac9ac04
153625691590
hex1e86d4c674

131111110260 has 72 divisors (see below), whose sum is σ = 428296301160. Its totient is φ = 32273503488.

The previous prime is 131111110259. The next prime is 131111110343. The reversal of 131111110260 is 62011111131.

It can be written as a sum of positive squares in 4 ways, for example, as 13662336996 + 117448773264 = 116886^2 + 342708^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28012855 + ... + 28017534.

Almost surely, 2131111110260 is an apocalyptic number.

131111110260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111110260 is an abundant number, since it is smaller than the sum of its proper divisors (297185190900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131111110260 is a wasteful number, since it uses less digits than its factorization.

131111110260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56030417 (or 56030412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 131111110260 its reverse (62011111131), we get a palindrome (193122221391).

The spelling of 131111110260 in words is "one hundred thirty-one billion, one hundred eleven million, one hundred ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 56030389 112060778 168091167 224121556 280151945 336182334 504273501 560303890 672364668 728395057 840455835 1008547002 1120607780 1456790114 1680911670 2017094004 2185185171 2521367505 2913580228 3361823340 3641975285 4370370342 5042735010 6555555513 7283950570 8740740684 10085470020 10925925855 13111111026 14567901140 21851851710 26222222052 32777777565 43703703420 65555555130 131111110260