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131400122204124 = 223233761331176597
BaseRepresentation
bin11101111000000111111001…
…100110110111111111011100
3122020020201200102221200210100
4131320013321212313333130
5114210324422241012444
61143244214403541100
736451226344112664
oct3570077146677734
9566221612850710
10131400122204124
113896052a432264
12128a228308a790
135841c945a8297
142463b2aad91a4
15102d0432e6e69
hex7781f99b7fdc

131400122204124 has 72 divisors (see below), whose sum is σ = 333143236350288. Its totient is φ = 43669110965760.

The previous prime is 131400122204107. The next prime is 131400122204149. The reversal of 131400122204124 is 421402221004131.

131400122204124 is a `hidden beast` number, since 1 + 3 + 1 + 400 + 12 + 220 + 4 + 1 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 743979394 + ... + 744155990.

It is an arithmetic number, because the mean of its divisors is an integer number (4626989393754).

Almost surely, 2131400122204124 is an apocalyptic number.

It is an amenable number.

131400122204124 is an abundant number, since it is smaller than the sum of its proper divisors (201743114146164).

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

131400122204124 is a wasteful number, since it uses less digits than its factorization.

131400122204124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238275 (or 238270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131400122204124 its reverse (421402221004131), we get a palindrome (552802343208255).

The spelling of 131400122204124 in words is "one hundred thirty-one trillion, four hundred billion, one hundred twenty-two million, two hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 61331 122662 176597 183993 245324 353194 367986 529791 551979 706388 735972 1059582 1103958 1589373 2119164 2207916 3178746 6357492 20668547 41337094 59513189 62005641 82674188 119026378 124011282 178539567 186016923 238052756 248022564 357079134 372033846 535618701 714158268 744067692 1071237402 2142474804 10830870607 21661741214 32492611821 43323482428 64985223642 97477835463 129970447284 194955670926 389911341852 3650003394559 7300006789118 10950010183677 14600013578236 21900020367354 32850030551031 43800040734708 65700061102062 131400122204124