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132931992200 = 2352722921272
BaseRepresentation
bin111101111001101011…
…1010011101010001000
3110201010020222212210112
41323303113103222020
54134221042222300
6141022413533452
712414115201400
oct1736327235210
9421106885715
10132931992200
115141570a287
122191a7a4288
13c6c6467267
146610a4b800
1536d0471e35
hex1ef35d3a88

132931992200 has 324 divisors, whose sum is σ = 375306744735. Its totient is φ = 43658576640.

The previous prime is 132931992187. The next prime is 132931992227. The reversal of 132931992200 is 2299139231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 50988349636 + 81943642564 = 225806^2 + 286258^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257810.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1046708537 + ... + 1046708663.

Almost surely, 2132931992200 is an apocalyptic number.

132931992200 is a gapful number since it is divisible by the number (10) 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 132931992200

132931992200 is an abundant number, since it is smaller than the sum of its proper divisors (242374752535).

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

132931992200 is a wasteful number, since it uses less digits than its factorization.

132931992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 132931992200 in words is "one hundred thirty-two billion, nine hundred thirty-one million, nine hundred ninety-two thousand, two hundred".