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131410434300102 = 2341109899981281
BaseRepresentation
bin11101111000010001100000…
…010000011001100011000110
3122020021201022002222110010000
4131320101200100121203012
5114211012032140100402
61143253041535542130
736452043031353516
oct3570214020314306
9566251262873100
10131410434300102
1138964941332631
12128a428068a946
135842c48b3a119
14246442849d846
15102d4487a2c1c
hex7784604198c6

131410434300102 has 80 divisors (see below), whose sum is σ = 294758606340000. Its totient is φ = 43758578350080.

The previous prime is 131410434300097. The next prime is 131410434300149. The reversal of 131410434300102 is 201003434014131.

131410434300102 is a `hidden beast` number, since 1 + 314 + 1 + 0 + 4 + 34 + 300 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1616701702 + ... + 1616782982.

It is an arithmetic number, because the mean of its divisors is an integer number (3684482579250).

Almost surely, 2131410434300102 is an apocalyptic number.

131410434300102 is an abundant number, since it is smaller than the sum of its proper divisors (163348172039898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131410434300102 is a wasteful number, since it uses less digits than its factorization.

131410434300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91403 (or 91394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131410434300102 its reverse (201003434014131), we get a palindrome (332413868314233).

The spelling of 131410434300102 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred thirty-four million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1109 2218 3327 6654 8999 9981 17998 19962 26997 29943 53994 59886 80991 81281 89829 161982 162562 179658 242973 243843 485946 487686 728919 731529 1457838 1463058 2194587 4389174 6583761 9979891 13167522 19959782 29939673 59879346 89819019 90140629 179638038 180281258 269457057 270421887 538914114 540843774 731447719 808371171 811265661 1462895438 1616742342 1622531322 2194343157 2433796983 4388686314 4867593966 6583029471 7301390949 13166058942 14602781898 19749088413 39498176826 59247265239 118494530478 811175520371 1622351040742 2433526561113 4867053122226 7300579683339 14601159366678 21901739050017 43803478100034 65705217150051 131410434300102