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131422656120030 = 2325117910139234241
BaseRepresentation
bin11101111000011100111000…
…101110111100010011011110
3122020022212211212111020012100
4131320130320232330103132
5114211212044431320110
61143302422411545530
736452654635203552
oct3570347056742336
9566285755436170
10131422656120030
113896a04321a860
12128a671175b2a6
135844145c28832
142464c6773d862
15102d91173cbc0
hex778738bbc4de

131422656120030 has 384 divisors, whose sum is σ = 381405476874240. Its totient is φ = 31130012160000.

The previous prime is 131422656120001. The next prime is 131422656120053. The reversal of 131422656120030 is 30021656224131.

131422656120030 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 2 + 6 + 5 + 612 + 0 + 0 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30988598710 + ... + 30988602950.

It is an arithmetic number, because the mean of its divisors is an integer number (993243429360).

Almost surely, 2131422656120030 is an apocalyptic number.

131422656120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131422656120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702738437120).

131422656120030 is an abundant number, since it is smaller than the sum of its proper divisors (249982820754210).

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

131422656120030 is a wasteful number, since it uses less digits than its factorization.

131422656120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 131422656120030 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, six hundred fifty-six million, one hundred twenty thousand, thirty".