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2431100993 is a prime number
BaseRepresentation
bin1001000011100111…
…1010100001000001
320021102112201121112
42100321322201001
514434330212433
61041122533105
7114150005666
oct22071724101
96242481545
102431100993
111038325182
1257a207195
132c9887ac9
14190c37a6d
15e366b348
hex90e7a841

2431100993 has 2 divisors, whose sum is σ = 2431100994. Its totient is φ = 2431100992.

The previous prime is 2431100983. The next prime is 2431101041. The reversal of 2431100993 is 3990011342.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2274049969 + 157051024 = 47687^2 + 12532^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431100993 - 218 = 2430838849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2431100923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215550496 + 1215550497.

It is an arithmetic number, because the mean of its divisors is an integer number (1215550497).

Almost surely, 22431100993 is an apocalyptic number.

It is an amenable number.

2431100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431100993 is an equidigital number, since it uses as much as digits as its factorization.

2431100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 2431100993 is about 49306.1962941779. The cubic root of 2431100993 is about 1344.6244383817.

The spelling of 2431100993 in words is "two billion, four hundred thirty-one million, one hundred thousand, nine hundred ninety-three".