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252200230131337 is a prime number
BaseRepresentation
bin111001010101111111110001…
…001000010001011010001001
31020001222002212122221202000121
4321111333301020101122021
5231024022032403200322
62252215104122303241
7104056602544421605
oct7125776110213211
91201862778852017
10252200230131337
11733a4576076504
1224352116957b21
13aa954c213c377
14463c7b0586505
151e2549045cec7
hexe55ff1211689

252200230131337 has 2 divisors, whose sum is σ = 252200230131338. Its totient is φ = 252200230131336.

The previous prime is 252200230131287. The next prime is 252200230131359. The reversal of 252200230131337 is 733131032002252.

252200230131337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157871284019856 + 94328946111481 = 12564684^2 + 9712309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252200230131337 is a prime.

It is not a weakly prime, because it can be changed into another prime (252200230131397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126100115065668 + 126100115065669.

It is an arithmetic number, because the mean of its divisors is an integer number (126100115065669).

Almost surely, 2252200230131337 is an apocalyptic number.

It is an amenable number.

252200230131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

252200230131337 is an equidigital number, since it uses as much as digits as its factorization.

252200230131337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 252200230131337 its reverse (733131032002252), we get a palindrome (985331262133589).

The spelling of 252200230131337 in words is "two hundred fifty-two trillion, two hundred billion, two hundred thirty million, one hundred thirty-one thousand, three hundred thirty-seven".