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120132965 = 517283137
BaseRepresentation
bin1110010100100…
…01010101100101
322101001101110002
413022101111211
5221223223330
615530511045
72656053611
oct712212545
9271041402
10120132965
11618a2747
1234295485
131bb725c4
1411d52341
15a82ee45
hex7291565

120132965 has 12 divisors (see below), whose sum is σ = 153140196. Its totient is φ = 90451968.

The previous prime is 120132949. The next prime is 120132989. The reversal of 120132965 is 569231021.

It can be written as a sum of positive squares in 6 ways, for example, as 1366561 + 118766404 = 1169^2 + 10898^2 .

It is not a de Polignac number, because 120132965 - 24 = 120132949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40124 + ... + 43013.

It is an arithmetic number, because the mean of its divisors is an integer number (12761683).

Almost surely, 2120132965 is an apocalyptic number.

It is an amenable number.

120132965 is a deficient number, since it is larger than the sum of its proper divisors (33007231).

120132965 is an equidigital number, since it uses as much as digits as its factorization.

120132965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83176 (or 83159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 120132965 is about 10960.5184640144. The cubic root of 120132965 is about 493.4245253365.

Adding to 120132965 its reverse (569231021), we get a palindrome (689363986).

The spelling of 120132965 in words is "one hundred twenty million, one hundred thirty-two thousand, nine hundred sixty-five".

Divisors: 1 5 17 85 289 1445 83137 415685 1413329 7066645 24026593 120132965