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12262783153 is a prime number
BaseRepresentation
bin10110110101110101…
…10011100010110001
31011122121120221001211
423122322303202301
5200103233030103
65344454000121
7612611636245
oct133272634261
934577527054
1012262783153
115223026535
122462946041
13120573180a
148448a4425
154bb87c36d
hex2daeb38b1

12262783153 has 2 divisors, whose sum is σ = 12262783154. Its totient is φ = 12262783152.

The previous prime is 12262783097. The next prime is 12262783177. The reversal of 12262783153 is 35138726221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12036942369 + 225840784 = 109713^2 + 15028^2 .

It is a cyclic number.

It is not a de Polignac number, because 12262783153 - 221 = 12260686001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12262783853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6131391576 + 6131391577.

It is an arithmetic number, because the mean of its divisors is an integer number (6131391577).

Almost surely, 212262783153 is an apocalyptic number.

It is an amenable number.

12262783153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12262783153 is an equidigital number, since it uses as much as digits as its factorization.

12262783153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The spelling of 12262783153 in words is "twelve billion, two hundred sixty-two million, seven hundred eighty-three thousand, one hundred fifty-three".