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110313330332113 is a prime number
BaseRepresentation
bin11001000101010001010010…
…110111100101000111010001
3112110120211222122211211210101
4121011101102313211013101
5103424333200031111423
61030341124440132401
732143606106430226
oct3105212267450721
9473524878754711
10110313330332113
1132170691123297
1210457567167101
13497266ba5ca3c
141d3529d63994d
15cb47823247ad
hex645452de51d1

110313330332113 has 2 divisors, whose sum is σ = 110313330332114. Its totient is φ = 110313330332112.

The previous prime is 110313330332077. The next prime is 110313330332147. The reversal of 110313330332113 is 311233033313011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105854610913489 + 4458719418624 = 10288567^2 + 2111568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110313330332113 is a prime.

It is not a weakly prime, because it can be changed into another prime (110313330336113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55156665166056 + 55156665166057.

It is an arithmetic number, because the mean of its divisors is an integer number (55156665166057).

Almost surely, 2110313330332113 is an apocalyptic number.

It is an amenable number.

110313330332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110313330332113 is an equidigital number, since it uses as much as digits as its factorization.

110313330332113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 110313330332113 its reverse (311233033313011), we get a palindrome (421546363645124).

The spelling of 110313330332113 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred thirty million, three hundred thirty-two thousand, one hundred thirteen".