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131012200441441 = 1139119304460749
BaseRepresentation
bin11101110010011110100111…
…101010110010011001100001
3122011212122101111201100120101
4131302132213222302121201
5114133000441303111231
61142350101330142401
736411214313410564
oct3562364752623141
9564778344640511
10131012200441441
1138820a64739380
121283b060a21a01
135814522395737
14244d04aabc4db
151022ddbe75661
hex7727a7ab2661

131012200441441 has 8 divisors (see below), whose sum is σ = 142926054480000. Its totient is φ = 119098955402640.

The previous prime is 131012200441433. The next prime is 131012200441531. The reversal of 131012200441441 is 144144002210131.

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 131012200441441 - 23 = 131012200441433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131012200442441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151800066 + ... + 152660683.

It is an arithmetic number, because the mean of its divisors is an integer number (17865756810000).

Almost surely, 2131012200441441 is an apocalyptic number.

131012200441441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131012200441441 is a deficient number, since it is larger than the sum of its proper divisors (11913854038559).

131012200441441 is a wasteful number, since it uses less digits than its factorization.

131012200441441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304499879.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131012200441441 its reverse (144144002210131), we get a palindrome (275156202651572).

The spelling of 131012200441441 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, four hundred forty-one thousand, four hundred forty-one".

Divisors: 1 11 39119 430309 304460749 3349068239 11910200040131 131012200441441