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10501626313 is a prime number
BaseRepresentation
bin10011100011111001…
…00001100111001001
31000002212122220001201
421301330201213021
5133001404020223
64454022144201
7521145231223
oct116174414711
930085586051
1010501626313
1144a9992312
122050b82061
13cb48c1889
14718a1d413
15416e47ead
hex271f219c9

10501626313 has 2 divisors, whose sum is σ = 10501626314. Its totient is φ = 10501626312.

The previous prime is 10501626293. The next prime is 10501626323. The reversal of 10501626313 is 31362610501.

10501626313 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., 7725179449 + 2776446864 = 87893^2 + 52692^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501626313 - 29 = 10501625801 is a prime.

It is a super-2 number, since 2×105016263132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10501626323) 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, 5250813156 + 5250813157.

It is an arithmetic number, because the mean of its divisors is an integer number (5250813157).

Almost surely, 210501626313 is an apocalyptic number.

It is an amenable number.

10501626313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501626313 is an equidigital number, since it uses as much as digits as its factorization.

10501626313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 10501626313 in words is "ten billion, five hundred one million, six hundred twenty-six thousand, three hundred thirteen".