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132313233102120 = 233257151841345791
BaseRepresentation
bin11110000101011010010011…
…010000100001010100101000
3122100111000120201012101221100
4132011122103100201110220
5114320310000133231440
61145223505443241400
736604213155512640
oct3605322320412450
9570430521171840
10132313233102120
11391827aa761844
1212a0b236079260
1358aa1133c40a5
142495dcd477520
151046b8687e230
hex785693421528

132313233102120 has 192 divisors, whose sum is σ = 491453809367040. Its totient is φ = 30242738073600.

The previous prime is 132313233102109. The next prime is 132313233102131. The reversal of 132313233102120 is 21201332313231.

132313233102120 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 323 + 310 + 2 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (132313233102109) and next prime (132313233102131).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382466425 + ... + 382812215.

It is an arithmetic number, because the mean of its divisors is an integer number (2559655257120).

Almost surely, 2132313233102120 is an apocalyptic number.

132313233102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132313233102120 is an abundant number, since it is smaller than the sum of its proper divisors (359140576264920).

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

132313233102120 is a wasteful number, since it uses less digits than its factorization.

132313233102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497656 (or 497649 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132313233102120 its reverse (21201332313231), we get a palindrome (153514565415351).

The spelling of 132313233102120 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred thirty-three million, one hundred two thousand, one hundred twenty".