Search a number
-
+
131837309 is a prime number
BaseRepresentation
bin1111101101110…
…10110101111101
3100012002000210022
413312322311331
5232222243214
621025421525
73160412222
oct766726575
9305060708
10131837309
116846735a
123819a8a5
132140cb56
141371b949
15b892d8e
hex7dbad7d

131837309 has 2 divisors, whose sum is σ = 131837310. Its totient is φ = 131837308.

The previous prime is 131837291. The next prime is 131837339. The reversal of 131837309 is 903738131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127193284 + 4644025 = 11278^2 + 2155^2 .

It is a cyclic number.

It is not a de Polignac number, because 131837309 - 28 = 131837053 is a prime.

It is a super-2 number, since 2×1318373092 = 34762152088722962, 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 (131837339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65918654 + 65918655.

It is an arithmetic number, because the mean of its divisors is an integer number (65918655).

Almost surely, 2131837309 is an apocalyptic number.

It is an amenable number.

131837309 is a deficient number, since it is larger than the sum of its proper divisors (1).

131837309 is an equidigital number, since it uses as much as digits as its factorization.

131837309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 131837309 is about 11482.0428931441. The cubic root of 131837309 is about 508.9550679997.

The spelling of 131837309 in words is "one hundred thirty-one million, eight hundred thirty-seven thousand, three hundred nine".