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90919100113 is a prime number
BaseRepresentation
bin101010010101100110…
…0110101111011010001
322200200022022211110021
41110223030311323101
52442200242200423
6105433451503441
76366026412502
oct1245314657321
9280608284407
1090919100113
1135616509666
1215754757b81
13875c3755ba
144586dcaba9
152571dcc95d
hex152b335ed1

90919100113 has 2 divisors, whose sum is σ = 90919100114. Its totient is φ = 90919100112.

The previous prime is 90919100071. The next prime is 90919100159. The reversal of 90919100113 is 31100191909.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90752767504 + 166332609 = 301252^2 + 12897^2 .

It is an emirp because it is prime and its reverse (31100191909) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90919100113 is a prime.

It is a super-2 number, since 2×909191001132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90919100183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45459550056 + 45459550057.

It is an arithmetic number, because the mean of its divisors is an integer number (45459550057).

Almost surely, 290919100113 is an apocalyptic number.

It is an amenable number.

90919100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

90919100113 is an equidigital number, since it uses as much as digits as its factorization.

90919100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 90919100113 in words is "ninety billion, nine hundred nineteen million, one hundred thousand, one hundred thirteen".