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10127415689 is a prime number
BaseRepresentation
bin10010110111010010…
…00001100110001001
3222010210112000120222
421123221001212021
5131220104300224
64352533355425
7505652420156
oct113351014611
928123460528
1010127415689
114327731336
121b67798b75
13c5520c881
146c104d22d
153e417ab5e
hex25ba41989

10127415689 has 2 divisors, whose sum is σ = 10127415690. Its totient is φ = 10127415688.

The previous prime is 10127415677. The next prime is 10127415691. The reversal of 10127415689 is 98651472101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8575686025 + 1551729664 = 92605^2 + 39392^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127415689 - 28 = 10127415433 is a prime.

Together with 10127415691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10127405689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5063707844 + 5063707845.

It is an arithmetic number, because the mean of its divisors is an integer number (5063707845).

Almost surely, 210127415689 is an apocalyptic number.

It is an amenable number.

10127415689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127415689 is an equidigital number, since it uses as much as digits as its factorization.

10127415689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 10127415689 in words is "ten billion, one hundred twenty-seven million, four hundred fifteen thousand, six hundred eighty-nine".