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233010113129 is a prime number
BaseRepresentation
bin1101100100000001111…
…1000010101001101001
3211021102212122011210222
43121000133002221221
512304201042110004
6255013211215425
722556131165613
oct3310037025151
9737385564728
10233010113129
118a901152832
12391aa747575
1318c851c99b1
14b3c6205db3
1560db48d7be
hex36407c2a69

233010113129 has 2 divisors, whose sum is σ = 233010113130. Its totient is φ = 233010113128.

The previous prime is 233010113117. The next prime is 233010113261. The reversal of 233010113129 is 921311010332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207097806400 + 25912306729 = 455080^2 + 160973^2 .

It is a cyclic number.

It is not a de Polignac number, because 233010113129 - 228 = 232741677673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233010113098 and 233010113107.

It is not a weakly prime, because it can be changed into another prime (233010113929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116505056564 + 116505056565.

It is an arithmetic number, because the mean of its divisors is an integer number (116505056565).

Almost surely, 2233010113129 is an apocalyptic number.

It is an amenable number.

233010113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

233010113129 is an equidigital number, since it uses as much as digits as its factorization.

233010113129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 233010113129 in words is "two hundred thirty-three billion, ten million, one hundred thirteen thousand, one hundred twenty-nine".