Search a number
-
+
132131381 is a prime number
BaseRepresentation
bin1111110000000…
…10101000110101
3100012121222011212
413320002220311
5232311201011
621040011205
73163045454
oct770025065
9305558155
10132131381
1168648298
1238300b05
13214b3965
1413796b9b
15b90008b
hex7e02a35

132131381 has 2 divisors, whose sum is σ = 132131382. Its totient is φ = 132131380.

The previous prime is 132131369. The next prime is 132131401. The reversal of 132131381 is 183131231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119464900 + 12666481 = 10930^2 + 3559^2 .

It is a cyclic number.

It is not a de Polignac number, because 132131381 - 222 = 127937077 is a prime.

It is a super-2 number, since 2×1321313812 = 34917403689934322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132131281) 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 as a sum of consecutive naturals, namely, 66065690 + 66065691.

It is an arithmetic number, because the mean of its divisors is an integer number (66065691).

Almost surely, 2132131381 is an apocalyptic number.

It is an amenable number.

132131381 is a deficient number, since it is larger than the sum of its proper divisors (1).

132131381 is an equidigital number, since it uses as much as digits as its factorization.

132131381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

The square root of 132131381 is about 11494.8414952099. The cubic root of 132131381 is about 509.3332065074. Note that the first 3 decimals are identical.

The spelling of 132131381 in words is "one hundred thirty-two million, one hundred thirty-one thousand, three hundred eighty-one".