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131202430131432 = 23311317923398479
BaseRepresentation
bin11101110101001111110010…
…001111011101110011101000
3122012112211101221102212101010
4131311033302033131303220
5114144110034103201212
61143013321520423520
736431030346165012
oct3565176217356350
9565484357385333
10131202430131432
1138894702407000
121286bab0477ba0
13582944a47858a
14245833534b1b2
151027d227ad03c
hex7753f23ddce8

131202430131432 has 256 divisors, whose sum is σ = 364358352384000. Its totient is φ = 39366115683840.

The previous prime is 131202430131371. The next prime is 131202430131439. The reversal of 131202430131432 is 234131034202131.

It is a self number, because there is not a number n which added to its sum of digits gives 131202430131432.

It is not an unprimeable number, because it can be changed into a prime (131202430131439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332239169 + ... + 1332337647.

It is an arithmetic number, because the mean of its divisors is an integer number (1423274814000).

Almost surely, 2131202430131432 is an apocalyptic number.

131202430131432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202430131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182179176192000).

131202430131432 is an abundant number, since it is smaller than the sum of its proper divisors (233155922252568).

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

131202430131432 is a wasteful number, since it uses less digits than its factorization.

131202430131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98933 (or 98907 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131202430131432 its reverse (234131034202131), we get a palindrome (365333464333563).

The spelling of 131202430131432 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred thirty million, one hundred thirty-one thousand, four hundred thirty-two".