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131420252240235 = 3257171923216714621
BaseRepresentation
bin11101111000011010101001…
…011100110111100101101011
3122020022122122100011111001100
4131320122221130313211223
5114211142134033141420
61143301344100252443
736452541235440630
oct3570325134674553
9566278570144040
10131420252240235
113896901a2a8342
12128a61606a1123
135843b51bb1c5a
142464aba390187
15102d82069c190
hex7786a973796b

131420252240235 has 576 divisors, whose sum is σ = 305160475576320. Its totient is φ = 50928508477440.

The previous prime is 131420252240209. The next prime is 131420252240239. The reversal of 131420252240235 is 532042252024131.

131420252240235 is a `hidden beast` number, since 1 + 3 + 1 + 420 + 2 + 5 + 224 + 0 + 2 + 3 + 5 = 666.

It is not a de Polignac number, because 131420252240235 - 26 = 131420252240171 is a prime.

It is a super-3 number, since 3×1314202522402353 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131420252240235.

It is not an unprimeable number, because it can be changed into a prime (131420252240239) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8988451225 + ... + 8988465845.

It is an arithmetic number, because the mean of its divisors is an integer number (529792492320).

Almost surely, 2131420252240235 is an apocalyptic number.

131420252240235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131420252240235 is an abundant number, since it is smaller than the sum of its proper divisors (173740223336085).

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

131420252240235 is a wasteful number, since it uses less digits than its factorization.

131420252240235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14888 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 131420252240235 in words is "one hundred thirty-one trillion, four hundred twenty billion, two hundred fifty-two million, two hundred forty thousand, two hundred thirty-five".