Search a number
-
+
131402505323131 = 7435081637913469
BaseRepresentation
bin11101111000001010000111…
…101001110000001001111011
3122020020221211112012200111021
4131320022013221300021323
5114210344312330320011
61143245251054243311
736451342402230550
oct3570120751601173
9566227745180437
10131402505323131
11389615426648a9
12128a28291b6537
135842284233383
142463cb5402a27
15102d132636471
hex778287a7027b

131402505323131 has 32 divisors (see below), whose sum is σ = 153732467750400. Its totient is φ = 109964340944640.

The previous prime is 131402505323123. The next prime is 131402505323179. The reversal of 131402505323131 is 131323505204131.

It is not a de Polignac number, because 131402505323131 - 23 = 131402505323123 is a prime.

It is a super-4 number, since 4×1314025053231314 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not an unprimeable number, because it can be changed into a prime (131402505323231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9755914665 + ... + 9755928133.

It is an arithmetic number, because the mean of its divisors is an integer number (4804139617200).

Almost surely, 2131402505323131 is an apocalyptic number.

131402505323131 is a deficient number, since it is larger than the sum of its proper divisors (22329962427269).

131402505323131 is a wasteful number, since it uses less digits than its factorization.

131402505323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24979.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 131402505323131 in words is "one hundred thirty-one trillion, four hundred two billion, five hundred five million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 43 301 5081 6379 13469 35567 44653 94283 218483 274297 579167 1529381 1920079 4054169 32411699 68435989 85918751 226881893 479051923 601431257 1393703057 2942747527 3694506293 9755921399 20599232689 25861544051 436553173831 3055872216817 18771786474733 131402505323131