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10128078509 is a prime number
BaseRepresentation
bin10010110111010111…
…00011011010101101
3222010211202200210212
421123223203122231
5131220242003014
64352555512205
7505661150453
oct113353433255
928124680725
1010128078509
11432804431a
121b67a58665
13c553b2483
146c11829d3
153e425c23e
hex25bae36ad

10128078509 has 2 divisors, whose sum is σ = 10128078510. Its totient is φ = 10128078508.

The previous prime is 10128078463. The next prime is 10128078511. The reversal of 10128078509 is 90587082101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9554476009 + 573602500 = 97747^2 + 23950^2 .

It is a cyclic number.

It is not a de Polignac number, because 10128078509 - 212 = 10128074413 is a prime.

It is a super-3 number, since 3×101280785093 (a number of 31 digits) contains 333 as substring.

Together with 10128078511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10128078529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064039254 + 5064039255.

It is an arithmetic number, because the mean of its divisors is an integer number (5064039255).

Almost surely, 210128078509 is an apocalyptic number.

It is an amenable number.

10128078509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10128078509 is an equidigital number, since it uses as much as digits as its factorization.

10128078509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 10128078509 in words is "ten billion, one hundred twenty-eight million, seventy-eight thousand, five hundred nine".