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131011342404001 = 2634913031333469
BaseRepresentation
bin11101110010011101110100…
…100001101000100110100001
3122011212120011201011112110221
4131302131310201220212201
5114132442212123412001
61142345440235323041
736411154124252653
oct3562356441504641
9564776151145427
10131011342404001
1138820664368124
121283aa615b0481
1358144166a1c87
14244cda8b666d3
151022d8b9871a1
hex7727748689a1

131011342404001 has 16 divisors (see below), whose sum is σ = 131785609127040. Its totient is φ = 130239201214080.

The previous prime is 131011342403939. The next prime is 131011342404017. The reversal of 131011342404001 is 100404243110131.

It is a cyclic number.

It is not a de Polignac number, because 131011342404001 - 217 = 131011342272929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011342104001) 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 15 ways as a sum of consecutive naturals, for example, 3914391895 + ... + 3914425363.

It is an arithmetic number, because the mean of its divisors is an integer number (8236600570440).

Almost surely, 2131011342404001 is an apocalyptic number.

It is an amenable number.

131011342404001 is a deficient number, since it is larger than the sum of its proper divisors (774266723039).

131011342404001 is a wasteful number, since it uses less digits than its factorization.

131011342404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64536.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131011342404001 its reverse (100404243110131), we get a palindrome (231415585514132).

The spelling of 131011342404001 in words is "one hundred thirty-one trillion, eleven billion, three hundred forty-two million, four hundred four thousand, one".

Divisors: 1 263 491 30313 33469 129133 7972319 8802347 14883683 16433279 1014545797 3914408629 4321952377 266825544611 498141986327 131011342404001