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131301315312 = 24317093160033
BaseRepresentation
bin111101001001000101…
…0110001001011110000
3110112220121120220122020
41322102022301023300
54122401114042222
6140152522511440
712325524523356
oct1722212611360
9415817526566
10131301315312
1150759195632
1221544665580
13c4c66803ab
1464d824d7d6
15363721365c
hex1e922b12f0

131301315312 has 40 divisors (see below), whose sum is σ = 339217028304. Its totient is φ = 43764271104.

The previous prime is 131301315293. The next prime is 131301315407. The reversal of 131301315312 is 213513103131.

It is a happy number.

It is a super-2 number, since 2×1313013153122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 740448 + ... + 900480.

Almost surely, 2131301315312 is an apocalyptic number.

131301315312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131301315312 is an abundant number, since it is smaller than the sum of its proper divisors (207915712992).

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

131301315312 is a wasteful number, since it uses less digits than its factorization.

131301315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177137 (or 177131 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 131301315312 its reverse (213513103131), we get a palindrome (344814418443).

The spelling of 131301315312 in words is "one hundred thirty-one billion, three hundred one million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 17093 34186 51279 68372 102558 136744 160033 205116 273488 320066 410232 480099 640132 820464 960198 1280264 1920396 2560528 3840792 7681584 2735444069 5470888138 8206332207 10941776276 16412664414 21883552552 32825328828 43767105104 65650657656 131301315312