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9918122033 is a prime number
BaseRepresentation
bin10010011110010101…
…01000100000110001
3221121012200210200002
421033022220200301
5130303014401113
64320055435345
7500531434451
oct111712504061
927535623602
109918122033
11422a580976
121b09685b55
13c20a50381
146a132bd61
153d0ad7c58
hex24f2a8831

9918122033 has 2 divisors, whose sum is σ = 9918122034. Its totient is φ = 9918122032.

The previous prime is 9918122029. The next prime is 9918122147. The reversal of 9918122033 is 3302218199.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8211440689 + 1706681344 = 90617^2 + 41312^2 .

It is a cyclic number.

It is not a de Polignac number, because 9918122033 - 22 = 9918122029 is a prime.

It is a super-2 number, since 2×99181220332 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9918122633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4959061016 + 4959061017.

It is an arithmetic number, because the mean of its divisors is an integer number (4959061017).

Almost surely, 29918122033 is an apocalyptic number.

It is an amenable number.

9918122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

9918122033 is an equidigital number, since it uses as much as digits as its factorization.

9918122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 9918122033 is about 99589.7687164701. The cubic root of 9918122033 is about 2148.5385440683.

The spelling of 9918122033 in words is "nine billion, nine hundred eighteen million, one hundred twenty-two thousand, thirty-three".