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131202134323101 = 3341791500258817
BaseRepresentation
bin11101110101001111100000…
…100111000010111110011101
3122012112210122022211020122000
4131311033200213002332131
5114144103432341314401
61143013232312312513
736431020124644032
oct3565174047027635
9565483568736560
10131202134323101
1138894570435906
121286ba293a2739
1358294010b766a
142458307d49389
151027d0682b186
hex7753e09c2f9d

131202134323101 has 32 divisors (see below), whose sum is σ = 201634785139200. Its totient is φ = 84254535106560.

The previous prime is 131202134323087. The next prime is 131202134323111. The reversal of 131202134323101 is 101323431202131.

131202134323101 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 2 + 1 + 343 + 2 + 310 + 1 = 666.

It is not a de Polignac number, because 131202134323101 - 215 = 131202134290333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202134323111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750041956 + ... + 750216861.

It is an arithmetic number, because the mean of its divisors is an integer number (6301087035600).

Almost surely, 2131202134323101 is an apocalyptic number.

It is an amenable number.

131202134323101 is a deficient number, since it is larger than the sum of its proper divisors (70432650816099).

131202134323101 is a wasteful number, since it uses less digits than its factorization.

131202134323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500258946 (or 1500258940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131202134323101 its reverse (101323431202131), we get a palindrome (232525565525232).

The spelling of 131202134323101 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-four million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 27 41 79 123 237 369 711 1107 2133 3239 9717 29151 87453 1500258817 4500776451 13502329353 40506988059 61510611497 118520446543 184531834491 355561339629 553595503473 1066684018887 1660786510419 3200052056661 4859338308263 14578014924789 43734044774367 131202134323101