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10122414413 is a prime number
BaseRepresentation
bin10010110110101011…
…11100100101001101
3222010110002221010112
421123111330211031
5131212314230123
64352234245405
7505562050166
oct113325744515
928113087115
1010122414413
114324925851
121b65b86865
13c5417b337
146c050a76d
153e39ddd78
hex25b57c94d

10122414413 has 2 divisors, whose sum is σ = 10122414414. Its totient is φ = 10122414412.

The previous prime is 10122414391. The next prime is 10122414427. The reversal of 10122414413 is 31441422101.

10122414413 is digitally balanced in base 3, 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., 9466900804 + 655513609 = 97298^2 + 25603^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122414413 - 222 = 10118220109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122444413) 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, 5061207206 + 5061207207.

It is an arithmetic number, because the mean of its divisors is an integer number (5061207207).

Almost surely, 210122414413 is an apocalyptic number.

It is an amenable number.

10122414413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122414413 is an equidigital number, since it uses as much as digits as its factorization.

10122414413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10122414413 its reverse (31441422101), we get a palindrome (41563836514).

The spelling of 10122414413 in words is "ten billion, one hundred twenty-two million, four hundred fourteen thousand, four hundred thirteen".