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131050400410301 = 1961461613400123
BaseRepresentation
bin11101110011000010001100…
…100100000110101010111101
3122012000021222201200211112212
4131303002030210012222331
5114134112210001112201
61142415420044110205
736414036042654311
oct3563021444065275
9565007881624485
10131050400410301
1138836187611379
1212846541b35365
135817ccc5469c8
142450c321a5b41
151023dc58e9abb
hex77308c906abd

131050400410301 has 32 divisors (see below), whose sum is σ = 140742944791680. Its totient is φ = 121653733075200.

The previous prime is 131050400410283. The next prime is 131050400410313. The reversal of 131050400410301 is 103014004050131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131050400410301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131050400410381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327325226 + ... + 327725348.

It is an arithmetic number, because the mean of its divisors is an integer number (4398217024740).

Almost surely, 2131050400410301 is an apocalyptic number.

It is an amenable number.

131050400410301 is a deficient number, since it is larger than the sum of its proper divisors (9692544381379).

131050400410301 is a wasteful number, since it uses less digits than its factorization.

131050400410301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401277.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 131050400410301 its reverse (103014004050131), we get a palindrome (234064404460432).

The spelling of 131050400410301 in words is "one hundred thirty-one trillion, fifty billion, four hundred million, four hundred ten thousand, three hundred one".

Divisors: 1 19 61 461 613 1159 8759 11647 28121 37393 282593 400123 534299 710467 5369267 7602337 17238173 24407503 184456703 245275399 327525287 463742557 3504677357 4660232581 11251858883 14961799339 113071958939 213785318777 284274187441 2148367219841 6897389495279 131050400410301