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1013100593 is a prime number
BaseRepresentation
bin111100011000101…
…011000000110001
32121121022211202012
4330120223000301
54033323204333
6244310132305
734051133021
oct7430530061
92547284665
101013100593
1147a96151a
12243351095
13131b7610b
149879ba81
155de1ce48
hex3c62b031

1013100593 has 2 divisors, whose sum is σ = 1013100594. Its totient is φ = 1013100592.

The previous prime is 1013100467. The next prime is 1013100659. The reversal of 1013100593 is 3950013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975437824 + 37662769 = 31232^2 + 6137^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013100593 - 214 = 1013084209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013100793) 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, 506550296 + 506550297.

It is an arithmetic number, because the mean of its divisors is an integer number (506550297).

Almost surely, 21013100593 is an apocalyptic number.

It is an amenable number.

1013100593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100593 is an equidigital number, since it uses as much as digits as its factorization.

1013100593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 1013100593 is about 31829.2411628050. The cubic root of 1013100593 is about 1004.3479324185.

Adding to 1013100593 its reverse (3950013101), we get a palindrome (4963113694).

The spelling of 1013100593 in words is "one billion, thirteen million, one hundred thousand, five hundred ninety-three".