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131142114232340 = 22523702740570877
BaseRepresentation
bin11101110100010111100111…
…001000100100100000010100
3122012100001201102102201112112
4131310113213020210200110
5114142113022220413330
61142525504445410152
736423463562411501
oct3564274710444024
9565301642381475
10131142114232340
1138871070686312
1212860278869958
135823857444963
1424554529464a8
15102649245a795
hex7745e7224814

131142114232340 has 48 divisors (see below), whose sum is σ = 287413187628672. Its totient is φ = 50168971560576.

The previous prime is 131142114232309. The next prime is 131142114232379. The reversal of 131142114232340 is 43232411241131.

It is a super-2 number, since 2×1311421142323402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131142114232297 and 131142114232306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17053019 + ... + 23517858.

It is an arithmetic number, because the mean of its divisors is an integer number (5987774742264).

Almost surely, 2131142114232340 is an apocalyptic number.

131142114232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142114232340 is an abundant number, since it is smaller than the sum of its proper divisors (156271073396332).

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

131142114232340 is a wasteful number, since it uses less digits than its factorization.

131142114232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40577936 (or 40577934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131142114232340 its reverse (43232411241131), we get a palindrome (174374525473471).

The spelling of 131142114232340 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred fourteen million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 7027 14054 28108 35135 70270 140540 161621 323242 646484 808105 1616210 3232420 40570877 81141754 162283508 202854385 405708770 811417540 933130171 1866260342 3732520684 4665650855 9331301710 18662603420 285091552679 570183105358 1140366210716 1425457763395 2850915526790 5701831053580 6557105711617 13114211423234 26228422846468 32785528558085 65571057116170 131142114232340