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131144013204401 = 647330161404283
BaseRepresentation
bin11101110100011001011000…
…010100100100101110110001
3122012100020121202200111111002
4131310121120110210232301
5114142130414340020101
61142530421123131345
736423561621410261
oct3564313024445661
9565306552614432
10131144013204401
113887195559a10a
1212860708813b55
135823a9a9a8672
142455592c237a1
151026554013d6b
hex774658524bb1

131144013204401 has 8 divisors (see below), whose sum is σ = 131386500857664. Its totient is φ = 130901648367600.

The previous prime is 131144013204397. The next prime is 131144013204499. The reversal of 131144013204401 is 104402310441131.

It is a happy number.

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 131144013204401 - 22 = 131144013204397 is a prime.

It is a super-2 number, since 2×1311440132044012 (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 (131144013204601) 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 7 ways as a sum of consecutive naturals, for example, 28566395 + ... + 32837888.

It is an arithmetic number, because the mean of its divisors is an integer number (16423312607208).

Almost surely, 2131144013204401 is an apocalyptic number.

It is an amenable number.

131144013204401 is a deficient number, since it is larger than the sum of its proper divisors (242487653263).

131144013204401 is an equidigital number, since it uses as much as digits as its factorization.

131144013204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61408231.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131144013204401 its reverse (104402310441131), we get a palindrome (235546323645532).

The spelling of 131144013204401 in words is "one hundred thirty-one trillion, one hundred forty-four billion, thirteen million, two hundred four thousand, four hundred one".

Divisors: 1 647 3301 2135747 61404283 39728571101 202695538183 131144013204401