Search a number
-
+
131867009 is a prime number
BaseRepresentation
bin1111101110000…
…10000110000001
3100012010112112022
413313002012001
5232224221014
621030211225
73160564631
oct767020601
9305115468
10131867009
11684876aa
12381b3b15
1321420521
14137286c1
15b89ba8e
hex7dc2181

131867009 has 2 divisors, whose sum is σ = 131867010. Its totient is φ = 131867008.

The previous prime is 131866991. The next prime is 131867017. The reversal of 131867009 is 900768131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69772609 + 62094400 = 8353^2 + 7880^2 .

It is a cyclic number.

It is not a de Polignac number, because 131867009 - 216 = 131801473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131867009.

It is not a weakly prime, because it can be changed into another prime (131867059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65933504 + 65933505.

It is an arithmetic number, because the mean of its divisors is an integer number (65933505).

Almost surely, 2131867009 is an apocalyptic number.

It is an amenable number.

131867009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131867009 is an equidigital number, since it uses as much as digits as its factorization.

131867009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 131867009 is about 11483.3361441700. The cubic root of 131867009 is about 508.9932838650.

The spelling of 131867009 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand, nine".