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132140313 = 3223638359
BaseRepresentation
bin1111110000001…
…00110100011001
3100012122102102200
413320010310121
5232311442223
621040120413
73163113504
oct770046431
9305572380
10132140313
1168653a78
1238306109
13214b7a46
141379a13b
15b902a43
hex7e04d19

132140313 has 12 divisors (see below), whose sum is σ = 199168320. Its totient is φ = 84263256.

The previous prime is 132140297. The next prime is 132140329. The reversal of 132140313 is 313041231.

It is an interprime number because it is at equal distance from previous prime (132140297) and next prime (132140329).

It is not a de Polignac number, because 132140313 - 24 = 132140297 is a prime.

It is a super-2 number, since 2×1321403132 = 34922124639475938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132140513) by changing a digit.

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, 318973 + ... + 319386.

It is an arithmetic number, because the mean of its divisors is an integer number (16597360).

Almost surely, 2132140313 is an apocalyptic number.

It is an amenable number.

132140313 is a deficient number, since it is larger than the sum of its proper divisors (67028007).

132140313 is a wasteful number, since it uses less digits than its factorization.

132140313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638388 (or 638385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132140313 is about 11495.2300107479. The cubic root of 132140313 is about 509.3446831192.

Adding to 132140313 its reverse (313041231), we get a palindrome (445181544).

The spelling of 132140313 in words is "one hundred thirty-two million, one hundred forty thousand, three hundred thirteen".

Divisors: 1 3 9 23 69 207 638359 1915077 5745231 14682257 44046771 132140313