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110133280013 is a prime number
BaseRepresentation
bin110011010010001110…
…1000111110100001101
3101112021101012022011212
41212210131013310031
53301023104430023
6122332230224205
710646130301631
oct1464435076415
9345241168155
10110133280013
1142786402389
12194174b5065
13a501cc3613
14548ab98dc1
152ce8b72e78
hex19a4747d0d

110133280013 has 2 divisors, whose sum is σ = 110133280014. Its totient is φ = 110133280012.

The previous prime is 110133279979. The next prime is 110133280031. The reversal of 110133280013 is 310082331011.

Together with next prime (110133280031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93677008489 + 16456271524 = 306067^2 + 128282^2 .

It is a cyclic number.

It is not a de Polignac number, because 110133280013 - 214 = 110133263629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110133280613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55066640006 + 55066640007.

It is an arithmetic number, because the mean of its divisors is an integer number (55066640007).

Almost surely, 2110133280013 is an apocalyptic number.

It is an amenable number.

110133280013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110133280013 is an equidigital number, since it uses as much as digits as its factorization.

110133280013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 110133280013 in words is "one hundred ten billion, one hundred thirty-three million, two hundred eighty thousand, thirteen".