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13315113 = 3272109277
BaseRepresentation
bin110010110010…
…110000101001
3221001110220100
4302302300221
511402040423
61153220013
7221114400
oct62626051
927043810
1013315113
117574929
124561609
1329b2786
141aa8637
151280343
hexcb2c29

13315113 has 36 divisors (see below), whose sum is σ = 22659780. Its totient is φ = 7511616.

The previous prime is 13315103. The next prime is 13315117. The reversal of 13315113 is 31151331.

It can be written as a sum of positive squares in 2 ways, for example, as 5631129 + 7683984 = 2373^2 + 2772^2 .

It is not a de Polignac number, because 13315113 - 213 = 13306921 is a prime.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13315117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47931 + ... + 48207.

Almost surely, 213315113 is an apocalyptic number.

It is an amenable number.

13315113 is a deficient number, since it is larger than the sum of its proper divisors (9344667).

13315113 is a wasteful number, since it uses less digits than its factorization.

13315113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 13315113 is about 3648.9879418820. The cubic root of 13315113 is about 237.0181580917.

Adding to 13315113 its reverse (31151331), we get a palindrome (44466444).

The spelling of 13315113 in words is "thirteen million, three hundred fifteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 49 63 109 147 277 327 441 763 831 981 1939 2289 2493 5341 5817 6867 13573 16023 17451 30193 40719 48069 90579 122157 211351 271737 634053 1479457 1902159 4438371 13315113