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12233000257 is a prime number
BaseRepresentation
bin10110110010010010…
…01100010101000001
31011120112112210121121
423121021030111001
5200023122002012
65341511352241
7612100533532
oct133111142501
934515483547
1012233000257
115208234175
122454982681
1311cc5045ba
14840950689
154b8e47a07
hex2d924c541

12233000257 has 2 divisors, whose sum is σ = 12233000258. Its totient is φ = 12233000256.

The previous prime is 12233000201. The next prime is 12233000281. The reversal of 12233000257 is 75200033221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8376093441 + 3856906816 = 91521^2 + 62104^2 .

It is an emirp because it is prime and its reverse (75200033221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12233000257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12233040257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116500128 + 6116500129.

It is an arithmetic number, because the mean of its divisors is an integer number (6116500129).

Almost surely, 212233000257 is an apocalyptic number.

It is an amenable number.

12233000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233000257 is an equidigital number, since it uses as much as digits as its factorization.

12233000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 25.

Adding to 12233000257 its reverse (75200033221), we get a palindrome (87433033478).

The spelling of 12233000257 in words is "twelve billion, two hundred thirty-three million, two hundred fifty-seven", and thus it is an aban number.