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131144343112401 = 3218713350359659
BaseRepresentation
bin11101110100011001101011…
…111111000100101011010001
3122012100021110202110120011220
4131310121223333010223101
5114142132103314044101
61142530513550155253
736423603035523213
oct3564315377045321
9565307422416156
10131144343112401
1138872004840953
121286079b1b2b29
135823b211485b8
1424555c49805b3
151026572e7e636
hex77466bfc4ad1

131144343112401 has 16 divisors (see below), whose sum is σ = 174875269816320. Its totient is φ = 87421489701840.

The previous prime is 131144343112373. The next prime is 131144343112429. The reversal of 131144343112401 is 104211343441131.

It is an interprime number because it is at equal distance from previous prime (131144343112373) and next prime (131144343112429).

It is not a de Polignac number, because 131144343112401 - 223 = 131144334723793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131144343112481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2198202510 + ... + 2198262168.

It is an arithmetic number, because the mean of its divisors is an integer number (10929704363520).

Almost surely, 2131144343112401 is an apocalyptic number.

It is an amenable number.

131144343112401 is a deficient number, since it is larger than the sum of its proper divisors (43730926703919).

131144343112401 is a wasteful number, since it uses less digits than its factorization.

131144343112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115036.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131144343112401 its reverse (104211343441131), we get a palindrome (235355686553532).

The spelling of 131144343112401 in words is "one hundred thirty-one trillion, one hundred forty-four billion, three hundred forty-three million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 21871 33503 59659 65613 100509 178977 732744113 1304801989 1998755477 2198232339 3914405967 5996266431 43714781037467 131144343112401