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12355221253 is a prime number
BaseRepresentation
bin10111000000110110…
…11011011100000101
31011220001112021022011
423200123123130011
5200300414040003
65401555134221
7615113435134
oct134033333405
934801467264
1012355221253
115270222661
1224898a4371
13121b92840b
14852c8791b
154c4a3b46d
hex2e06db705

12355221253 has 2 divisors, whose sum is σ = 12355221254. Its totient is φ = 12355221252.

The previous prime is 12355221227. The next prime is 12355221269. The reversal of 12355221253 is 35212255321.

12355221253 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., 12283953889 + 71267364 = 110833^2 + 8442^2 .

It is a cyclic number.

It is not a de Polignac number, because 12355221253 - 213 = 12355213061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12355221283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6177610626 + 6177610627.

It is an arithmetic number, because the mean of its divisors is an integer number (6177610627).

Almost surely, 212355221253 is an apocalyptic number.

It is an amenable number.

12355221253 is a deficient number, since it is larger than the sum of its proper divisors (1).

12355221253 is an equidigital number, since it uses as much as digits as its factorization.

12355221253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18000, while the sum is 31.

Adding to 12355221253 its reverse (35212255321), we get a palindrome (47567476574).

The spelling of 12355221253 in words is "twelve billion, three hundred fifty-five million, two hundred twenty-one thousand, two hundred fifty-three".