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132120997 = 536413889
BaseRepresentation
bin1111110000000…
…00000110100101
3100012121102221021
413320000012211
5232310332442
621035451141
73163003261
oct770000645
9305542837
10132120997
1168640508
12382b6ab1
13214ac008
14137930a1
15b8ebe67
hex7e001a5

132120997 has 8 divisors (see below), whose sum is σ = 134858520. Its totient is φ = 129392640.

The previous prime is 132120979. The next prime is 132121007. The reversal of 132120997 is 799021231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 56535361 = 8694^2 + 7519^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132120997 - 27 = 132120869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32029 + ... + 35917.

It is an arithmetic number, because the mean of its divisors is an integer number (16857315).

Almost surely, 2132120997 is an apocalyptic number.

It is an amenable number.

132120997 is a deficient number, since it is larger than the sum of its proper divisors (2737523).

132120997 is an equidigital number, since it uses as much as digits as its factorization.

132120997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 132120997 is about 11494.3898054660. The cubic root of 132120997 is about 509.3198635893.

The spelling of 132120997 in words is "one hundred thirty-two million, one hundred twenty thousand, nine hundred ninety-seven".

Divisors: 1 53 641 3889 33973 206117 2492849 132120997