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10213413149 is a prime number
BaseRepresentation
bin10011000001100010…
…00101000100011101
3222100210100010221002
421200301011010131
5131404113210044
64405244520045
7511045402502
oct114061050435
928323303832
1010213413149
114371229515
121b90550025
13c69c8ca44
146cc6374a9
153eb9b674e
hex260c4511d

10213413149 has 2 divisors, whose sum is σ = 10213413150. Its totient is φ = 10213413148.

The previous prime is 10213413101. The next prime is 10213413179. The reversal of 10213413149 is 94131431201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10038036100 + 175377049 = 100190^2 + 13243^2 .

It is an emirp because it is prime and its reverse (94131431201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10213413149 - 212 = 10213409053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213413179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106706574 + 5106706575.

It is an arithmetic number, because the mean of its divisors is an integer number (5106706575).

Almost surely, 210213413149 is an apocalyptic number.

It is an amenable number.

10213413149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213413149 is an equidigital number, since it uses as much as digits as its factorization.

10213413149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10213413149 in words is "ten billion, two hundred thirteen million, four hundred thirteen thousand, one hundred forty-nine".