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3113120993 is a prime number
BaseRepresentation
bin1011100110001110…
…0111010011100001
322000221212221011112
42321203213103201
522333424332433
61232524553105
7140101043333
oct27143472341
98027787145
103113120993
111358303974
1272a6b2795
133a7c70338
14217651453
1513348b348
hexb98e74e1

3113120993 has 2 divisors, whose sum is σ = 3113120994. Its totient is φ = 3113120992.

The previous prime is 3113120953. The next prime is 3113121043. The reversal of 3113120993 is 3990213113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3112858849 + 262144 = 55793^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 3113120993 - 26 = 3113120929 is a prime.

It is not a weakly prime, because it can be changed into another prime (3113120953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556560496 + 1556560497.

It is an arithmetic number, because the mean of its divisors is an integer number (1556560497).

Almost surely, 23113120993 is an apocalyptic number.

It is an amenable number.

3113120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113120993 is an equidigital number, since it uses as much as digits as its factorization.

3113120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 3113120993 is about 55795.3492058254. The cubic root of 3113120993 is about 1460.1540140585.

It can be divided in two parts, 3113120 and 993, that added together give a palindrome (3114113).

The spelling of 3113120993 in words is "three billion, one hundred thirteen million, one hundred twenty thousand, nine hundred ninety-three".