Search a number
-
+
10013075593 is a prime number
BaseRepresentation
bin10010101001101001…
…10110100010001001
3221211211100221110121
421110310312202021
5131001321404333
64333330543241
7503063511133
oct112464664211
927754327417
1010013075593
114279135994
121b35437b21
13c37617c01
146adba8053
153d90e232d
hex254d36889

10013075593 has 2 divisors, whose sum is σ = 10013075594. Its totient is φ = 10013075592.

The previous prime is 10013075581. The next prime is 10013075603. The reversal of 10013075593 is 39557031001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9993601024 + 19474569 = 99968^2 + 4413^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013075593 - 213 = 10013067401 is a prime.

It is a super-2 number, since 2×100130755932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013075533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006537796 + 5006537797.

It is an arithmetic number, because the mean of its divisors is an integer number (5006537797).

Almost surely, 210013075593 is an apocalyptic number.

It is an amenable number.

10013075593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013075593 is an equidigital number, since it uses as much as digits as its factorization.

10013075593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 34.

The spelling of 10013075593 in words is "ten billion, thirteen million, seventy-five thousand, five hundred ninety-three".