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113506324136129 is a prime number
BaseRepresentation
bin11001110011101111000000…
…001000010100000011000001
3112212220002122220000011122202
4121303233000020110003001
5104334141422434324004
61041224030242442545
732623363345105061
oct3163570010240301
9485802586004582
10113506324136129
1133191841964451
1210892352363455
134b447a62168c2
142005a41d233a1
15d1c85ed9cb1e
hex673bc02140c1

113506324136129 has 2 divisors, whose sum is σ = 113506324136130. Its totient is φ = 113506324136128.

The previous prime is 113506324136119. The next prime is 113506324136171. The reversal of 113506324136129 is 921631423605311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113412702211600 + 93621924529 = 10649540^2 + 305977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113506324136129 is a prime.

It is not a weakly prime, because it can be changed into another prime (113506324136119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56753162068064 + 56753162068065.

It is an arithmetic number, because the mean of its divisors is an integer number (56753162068065).

Almost surely, 2113506324136129 is an apocalyptic number.

It is an amenable number.

113506324136129 is a deficient number, since it is larger than the sum of its proper divisors (1).

113506324136129 is an equidigital number, since it uses as much as digits as its factorization.

113506324136129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 113506324136129 in words is "one hundred thirteen trillion, five hundred six billion, three hundred twenty-four million, one hundred thirty-six thousand, one hundred twenty-nine".