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113332023131981 is a prime number
BaseRepresentation
bin11001110001001100101010…
…111110101111111101001101
3112212021102202112220202000112
4121301030222332233331031
5104323312440410210411
61041012002423205405
732604653120032163
oct3161145276577515
9485242675822015
10113332023131981
11331249285531a5
12108646092a6865
134b312191ab264
141ddb428d81233
15d1805cb70b8b
hex67132afaff4d

113332023131981 has 2 divisors, whose sum is σ = 113332023131982. Its totient is φ = 113332023131980.

The previous prime is 113332023131939. The next prime is 113332023132043. The reversal of 113332023131981 is 189131320233311.

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., 106538337271081 + 6793685860900 = 10321741^2 + 2606470^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113332023131981 is a prime.

It is a super-2 number, since 2×1133320231319812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113332023131581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56666011565990 + 56666011565991.

It is an arithmetic number, because the mean of its divisors is an integer number (56666011565991).

Almost surely, 2113332023131981 is an apocalyptic number.

It is an amenable number.

113332023131981 is a deficient number, since it is larger than the sum of its proper divisors (1).

113332023131981 is an equidigital number, since it uses as much as digits as its factorization.

113332023131981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 113332023131981 in words is "one hundred thirteen trillion, three hundred thirty-two billion, twenty-three million, one hundred thirty-one thousand, nine hundred eighty-one".