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132013301 = 725350833
BaseRepresentation
bin1111101111001…
…01110011110101
3100012101222012112
413313211303311
5232243411201
621033300405
73162044300
oct767456365
9305358175
10132013301
1168577602
1238264705
1321471ca4
1413765b37
15b8ca0bb
hex7de5cf5

132013301 has 12 divisors (see below), whose sum is σ = 156467052. Its totient is φ = 111017088.

The previous prime is 132013291. The next prime is 132013303. The reversal of 132013301 is 103310231.

It can be written as a sum of positive squares in 2 ways, for example, as 80532676 + 51480625 = 8974^2 + 7175^2 .

It is not a de Polignac number, because 132013301 - 26 = 132013237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22820 + ... + 28013.

It is an arithmetic number, because the mean of its divisors is an integer number (13038921).

Almost surely, 2132013301 is an apocalyptic number.

It is an amenable number.

132013301 is a deficient number, since it is larger than the sum of its proper divisors (24453751).

132013301 is an equidigital number, since it uses as much as digits as its factorization.

132013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50900 (or 50893 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 132013301 is about 11489.7041302202. The cubic root of 132013301 is about 509.1814383987.

Adding to 132013301 its reverse (103310231), we get a palindrome (235323532).

The spelling of 132013301 in words is "one hundred thirty-two million, thirteen thousand, three hundred one".

Divisors: 1 7 49 53 371 2597 50833 355831 2490817 2694149 18859043 132013301