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131142114214302 = 2317281193255023
BaseRepresentation
bin11101110100010111100111…
…001000100000000110011110
3122012100001201102101210210110
4131310113213020200012132
5114142113022214324202
61142525504445150450
736423463562305062
oct3564274710400636
9565301642353713
10131142114214302
1138871070673804
121286027885b426
135823857439699
14245545293daa2
15102649245526c
hex7745e722019e

131142114214302 has 48 divisors (see below), whose sum is σ = 278963824833792. Its totient is φ = 41091892894080.

The previous prime is 131142114214289. The next prime is 131142114214303. The reversal of 131142114214302 is 203412411241131.

It is a self number, because there is not a number n which added to its sum of digits gives 131142114214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142114214303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45221238 + ... + 48033785.

It is an arithmetic number, because the mean of its divisors is an integer number (5811746350704).

Almost surely, 2131142114214302 is an apocalyptic number.

131142114214302 is an abundant number, since it is smaller than the sum of its proper divisors (147821710619490).

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

131142114214302 is a wasteful number, since it uses less digits than its factorization.

131142114214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93255873 (or 93255856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131142114214302 its reverse (203412411241131), we get a palindrome (334554525455433).

The spelling of 131142114214302 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred fourteen million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 17 34 51 102 289 578 811 867 1622 1734 2433 4866 13787 27574 41361 82722 234379 468758 703137 1406274 93255023 186510046 279765069 559530138 1585335391 3170670782 4756006173 9512012346 26950701647 53901403294 75629823653 80852104941 151259647306 161704209882 226889470959 453778941918 1285707002101 2571414004202 3857121006303 7714242012606 21857019035717 43714038071434 65571057107151 131142114214302