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12220540133 is a prime number
BaseRepresentation
bin10110110000110011…
…01010010011100101
31011112200002202112112
423120121222103211
5200011424241013
65340344330405
7611556606614
oct133031522345
934480082475
1012220540133
1152011a374a
122450773a05
1311c9a61049
1483d02987b
154b7cd5ba8
hex2d866a4e5

12220540133 has 2 divisors, whose sum is σ = 12220540134. Its totient is φ = 12220540132.

The previous prime is 12220540081. The next prime is 12220540139. The reversal of 12220540133 is 33104502221.

12220540133 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., 11691448129 + 529092004 = 108127^2 + 23002^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220540133 - 216 = 12220474597 is a prime.

It is a super-2 number, since 2×122205401332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220540099 and 12220540108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220540139) 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, 6110270066 + 6110270067.

It is an arithmetic number, because the mean of its divisors is an integer number (6110270067).

Almost surely, 212220540133 is an apocalyptic number.

It is an amenable number.

12220540133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220540133 is an equidigital number, since it uses as much as digits as its factorization.

12220540133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 12220540133 in words is "twelve billion, two hundred twenty million, five hundred forty thousand, one hundred thirty-three".