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2314100993 is a prime number
BaseRepresentation
bin1000100111101110…
…0110000100000001
312222021101111210012
42021323212010001
514214402212433
61021343114305
7111226351061
oct21173460401
95867344705
102314100993
11a88282366
12546ba2995
132ab571539
1417d49d3a1
15d8259848
hex89ee6101

2314100993 has 2 divisors, whose sum is σ = 2314100994. Its totient is φ = 2314100992.

The previous prime is 2314100981. The next prime is 2314101019. The reversal of 2314100993 is 3990014132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2187245824 + 126855169 = 46768^2 + 11263^2 .

It is a cyclic number.

It is not a de Polignac number, because 2314100993 - 210 = 2314099969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2314100903) 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, 1157050496 + 1157050497.

It is an arithmetic number, because the mean of its divisors is an integer number (1157050497).

Almost surely, 22314100993 is an apocalyptic number.

It is an amenable number.

2314100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2314100993 is an equidigital number, since it uses as much as digits as its factorization.

2314100993 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 2314100993 is about 48105.1036065821. The cubic root of 2314100993 is about 1322.6982214143.

The spelling of 2314100993 in words is "two billion, three hundred fourteen million, one hundred thousand, nine hundred ninety-three".