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12221100197 is a prime number
BaseRepresentation
bin10110110000110111…
…10011000010100101
31011112201011012210122
423120123303002211
5200012100201242
65340404331325
7611564431505
oct133033630245
934481135718
1012221100197
115201546509
1224509a3b45
1311c9bc8c47
1483d133a05
154b7d96ad2
hex2d86f30a5

12221100197 has 2 divisors, whose sum is σ = 12221100198. Its totient is φ = 12221100196.

The previous prime is 12221100139. The next prime is 12221100217. The reversal of 12221100197 is 79100112221.

12221100197 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., 9230213476 + 2990886721 = 96074^2 + 54689^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221100197 - 214 = 12221083813 is a prime.

It is a super-2 number, since 2×122211001972 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221100137) 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, 6110550098 + 6110550099.

It is an arithmetic number, because the mean of its divisors is an integer number (6110550099).

Almost surely, 212221100197 is an apocalyptic number.

It is an amenable number.

12221100197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221100197 is an equidigital number, since it uses as much as digits as its factorization.

12221100197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 12221100197 in words is "twelve billion, two hundred twenty-one million, one hundred thousand, one hundred ninety-seven".