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131010413412303 = 3419137596187003
BaseRepresentation
bin11101110010011100111101…
…001001110011111111001111
3122011212110202222002212110000
4131302130331021303333033
5114132433311313143203
61142345204132015343
736411122114045235
oct3562347511637717
9564773688085400
10131010413412303
1138820227a33997
121283a842461553
1358142c9097549
14244cd1b620955
151022d351304a3
hex77273d273fcf

131010413412303 has 40 divisors (see below), whose sum is σ = 206022283596800. Its totient is φ = 82737391857552.

The previous prime is 131010413412283. The next prime is 131010413412323. The reversal of 131010413412303 is 303214314010131.

131010413412303 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 10 + 4 + 1 + 341 + 2 + 303 = 666.

It is an interprime number because it is at equal distance from previous prime (131010413412283) and next prime (131010413412323).

It is not a de Polignac number, because 131010413412303 - 25 = 131010413412271 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010413412323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18081600 + ... + 24268602.

It is an arithmetic number, because the mean of its divisors is an integer number (5150557089920).

Almost surely, 2131010413412303 is an apocalyptic number.

131010413412303 is a deficient number, since it is larger than the sum of its proper divisors (75011870184497).

131010413412303 is a wasteful number, since it uses less digits than its factorization.

131010413412303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200793 (or 6200784 counting only the distinct ones).

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

Adding to 131010413412303 its reverse (303214314010131), we get a palindrome (434224727422434).

The spelling of 131010413412303 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, four hundred twelve thousand, three hundred three".

Divisors: 1 3 9 19 27 57 81 171 513 1539 13759 41277 123831 261421 371493 784263 1114479 2352789 6187003 7058367 18561009 21175101 55683027 117553057 167049081 352659171 501147243 1057977513 3173932539 9521797617 85126974277 255380922831 766142768493 1617412511263 2298428305479 4852237533789 6895284916437 14556712601367 43670137804101 131010413412303