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131454242454131 = 3111245133947671
BaseRepresentation
bin11101111000111010010011…
…011011001111101001110011
3122020102220101011202020212022
4131320322103123033221303
5114212221242032013011
61143325124552422055
736455153446464302
oct3570722333175163
9566386334666768
10131454242454131
1138981481951103
12128b08679a792b
13584710ab5035c
1424665c2722439
15102e65e7668db
hex778e936cfa73

131454242454131 has 8 divisors (see below), whose sum is σ = 131887520464128. Its totient is φ = 131021032365000.

The previous prime is 131454242454127. The next prime is 131454242454163.

131454242454131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131454242454131 - 22 = 131454242454127 is a prime.

It is a super-2 number, since 2×1314542424541312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131454242454331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13101575 + ... + 20846096.

It is an arithmetic number, because the mean of its divisors is an integer number (16485940058016).

Almost surely, 2131454242454131 is an apocalyptic number.

131454242454131 is a deficient number, since it is larger than the sum of its proper divisors (433278009997).

131454242454131 is a wasteful number, since it uses less digits than its factorization.

131454242454131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33960433.

The product of its digits is 921600, while the sum is 44.

The spelling of 131454242454131 in words is "one hundred thirty-one trillion, four hundred fifty-four billion, two hundred forty-two million, four hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 311 12451 3872261 33947671 10557725681 422682451621 131454242454131