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36113137 is a prime number
BaseRepresentation
bin1000100111000…
…0101011110001
32111221201220121
42021300223301
533221110022
63330010241
7615646054
oct211605361
974851817
1036113137
1119426375
1210116981
137635628
144b20a9b
1532852c7
hex2270af1

36113137 has 2 divisors, whose sum is σ = 36113138. Its totient is φ = 36113136.

The previous prime is 36113131. The next prime is 36113177. The reversal of 36113137 is 73131163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25361296 + 10751841 = 5036^2 + 3279^2 .

It is a cyclic number.

It is not a de Polignac number, because 36113137 - 219 = 35588849 is a prime.

It is a zygodrome in base 5.

It is not a weakly prime, because it can be changed into another prime (36113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18056568 + 18056569.

It is an arithmetic number, because the mean of its divisors is an integer number (18056569).

Almost surely, 236113137 is an apocalyptic number.

It is an amenable number.

36113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36113137 is an equidigital number, since it uses as much as digits as its factorization.

36113137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 25.

The square root of 36113137 is about 6009.4206875538. The cubic root of 36113137 is about 330.5382614506.

The spelling of 36113137 in words is "thirty-six million, one hundred thirteen thousand, one hundred thirty-seven".