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131014124041131 = 3223399622125941
BaseRepresentation
bin11101110010100000011010…
…010100101111001110101011
3122011212211100120022100021100
4131302200122110233032223
5114133013411223304011
61142351020243412443
736411313061631132
oct3562403224571653
9564784316270240
10131014124041131
1138821861543291
121283b4b9084123
13581476aa6ccc6
14244d19036a919
151022ea0c95d56
hex77281a52f3ab

131014124041131 has 12 divisors (see below), whose sum is σ = 189250711556400. Its totient is φ = 87339016464720.

The previous prime is 131014124041117. The next prime is 131014124041201. The reversal of 131014124041131 is 131140421410131.

131014124041131 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 4 + 1 + 240 + 411 + 3 + 1 = 666.

It is not a de Polignac number, because 131014124041131 - 233 = 131005534106539 is a prime.

It is a super-2 number, since 2×1310141240411312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131014124041095 and 131014124041104.

It is not an unprimeable number, because it can be changed into a prime (131014124041331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310852380 + ... + 311273561.

It is an arithmetic number, because the mean of its divisors is an integer number (15770892629700).

Almost surely, 2131014124041131 is an apocalyptic number.

131014124041131 is a deficient number, since it is larger than the sum of its proper divisors (58236587515269).

131014124041131 is a wasteful number, since it uses less digits than its factorization.

131014124041131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622149346 (or 622149343 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131014124041131 its reverse (131140421410131), we get a palindrome (262154545451262).

The spelling of 131014124041131 in words is "one hundred thirty-one trillion, fourteen billion, one hundred twenty-four million, forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 23399 70197 210591 622125941 1866377823 5599133469 14557124893459 43671374680377 131014124041131