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2200313013257 is a prime number
BaseRepresentation
bin100000000001001100111…
…000000010010000001001
321210100101121010020221002
4200001030320002100021
5242022220112411012
64402450532024345
7314652544011122
oct40011470022011
97710347106832
102200313013257
11779169374527
122b65284620b5
1312c647689598
14786d2371049
153c37db817c2
hex2004ce02409

2200313013257 has 2 divisors, whose sum is σ = 2200313013258. Its totient is φ = 2200313013256.

The previous prime is 2200313013253. The next prime is 2200313013319. The reversal of 2200313013257 is 7523103130022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2131027718416 + 69285294841 = 1459804^2 + 263221^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200313013257 - 22 = 2200313013253 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200313013251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100156506628 + 1100156506629.

It is an arithmetic number, because the mean of its divisors is an integer number (1100156506629).

Almost surely, 22200313013257 is an apocalyptic number.

It is an amenable number.

2200313013257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200313013257 is an equidigital number, since it uses as much as digits as its factorization.

2200313013257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

Adding to 2200313013257 its reverse (7523103130022), we get a palindrome (9723416143279).

The spelling of 2200313013257 in words is "two trillion, two hundred billion, three hundred thirteen million, thirteen thousand, two hundred fifty-seven".