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10015541309 is a prime number
BaseRepresentation
bin10010101001111100…
…10000100000111101
3221212000000012210102
421110332100200331
5131002434310214
64333455450445
7503123460614
oct112476204075
927760005712
1010015541309
11427a56a474
121b36226a25
13c37c9c307
146b024a87b
153d942cbde
hex254f9083d

10015541309 has 2 divisors, whose sum is σ = 10015541310. Its totient is φ = 10015541308.

The previous prime is 10015541303. The next prime is 10015541311. The reversal of 10015541309 is 90314551001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9959441209 + 56100100 = 99797^2 + 7490^2 .

It is a cyclic number.

It is not a de Polignac number, because 10015541309 - 24 = 10015541293 is a prime.

It is a super-2 number, since 2×100155413092 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10015541311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10015541303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5007770654 + 5007770655.

It is an arithmetic number, because the mean of its divisors is an integer number (5007770655).

Almost surely, 210015541309 is an apocalyptic number.

It is an amenable number.

10015541309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10015541309 is an equidigital number, since it uses as much as digits as its factorization.

10015541309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 10015541309 in words is "ten billion, fifteen million, five hundred forty-one thousand, three hundred nine".