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113414132009 is a prime number
BaseRepresentation
bin110100110100000000…
…0100101000100101001
3101211202000200212000202
41221220000211010221
53324233004211014
6124033550241545
711123336134043
oct1515000450451
9354660625022
10113414132009
114410a359012
1219b921b62b5
13a905930269
1456bc7cca93
152e3bbe23de
hex1a68025129

113414132009 has 2 divisors, whose sum is σ = 113414132010. Its totient is φ = 113414132008.

The previous prime is 113414132003. The next prime is 113414132047. The reversal of 113414132009 is 900231414311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102681793600 + 10732338409 = 320440^2 + 103597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113414132009 is a prime.

It is not a weakly prime, because it can be changed into another prime (113414132003) 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, 56707066004 + 56707066005.

It is an arithmetic number, because the mean of its divisors is an integer number (56707066005).

Almost surely, 2113414132009 is an apocalyptic number.

It is an amenable number.

113414132009 is a deficient number, since it is larger than the sum of its proper divisors (1).

113414132009 is an equidigital number, since it uses as much as digits as its factorization.

113414132009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 113414132009 in words is "one hundred thirteen billion, four hundred fourteen million, one hundred thirty-two thousand, nine".