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3122000993 is a prime number
BaseRepresentation
bin1011101000010101…
…1111010001100001
322001120121002020102
42322011133101201
522343213012433
61233443152145
7140236366466
oct27205372141
98046532212
103122000993
111362319611
12731675655
133a9a5c187
142188c366d
151341424e8
hexba15f461

3122000993 has 2 divisors, whose sum is σ = 3122000994. Its totient is φ = 3122000992.

The previous prime is 3122000983. The next prime is 3122001011. The reversal of 3122000993 is 3990002213.

3122000993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2772759649 + 349241344 = 52657^2 + 18688^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122000993 - 24 = 3122000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (3122000963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561000496 + 1561000497.

It is an arithmetic number, because the mean of its divisors is an integer number (1561000497).

Almost surely, 23122000993 is an apocalyptic number.

It is an amenable number.

3122000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122000993 is an equidigital number, since it uses as much as digits as its factorization.

3122000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3122000993 is about 55874.8690647235. The cubic root of 3122000993 is about 1461.5410314339.

The spelling of 3122000993 in words is "three billion, one hundred twenty-two million, nine hundred ninety-three", and thus it is an aban number.