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10402121089 is a prime number
BaseRepresentation
bin10011011000000001…
…11100010110000001
3222211221102111120001
421230000330112001
5132300420333324
64440105320001
7515526366433
oct115400742601
928757374501
1010402121089
1144587a9598
122023796001
13c9a0c2349
1470971a653
1540d33ee44
hex26c03c581

10402121089 has 2 divisors, whose sum is σ = 10402121090. Its totient is φ = 10402121088.

The previous prime is 10402121077. The next prime is 10402121117. The reversal of 10402121089 is 98012120401.

It is an a-pointer prime, because the next prime (10402121117) can be obtained adding 10402121089 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7427509489 + 2974611600 = 86183^2 + 54540^2 .

It is a cyclic number.

It is not a de Polignac number, because 10402121089 - 215 = 10402088321 is a prime.

It is not a weakly prime, because it can be changed into another prime (10402122089) 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, 5201060544 + 5201060545.

It is an arithmetic number, because the mean of its divisors is an integer number (5201060545).

Almost surely, 210402121089 is an apocalyptic number.

It is an amenable number.

10402121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402121089 is an equidigital number, since it uses as much as digits as its factorization.

10402121089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10402121089 in words is "ten billion, four hundred two million, one hundred twenty-one thousand, eighty-nine".