Search a number
-
+
1313303319 = 321147112721
BaseRepresentation
bin100111001000111…
…0110101100010111
310101112012201110200
41032101312230113
510142201201234
6334152351543
744354615436
oct11621665427
93345181420
101313303319
11614364249
123079a55b3
1317c115273
14c65c511d
157a46bd99
hex4e476b17

1313303319 has 12 divisors (see below), whose sum is σ = 1897308192. Its totient is φ = 875390400.

The previous prime is 1313303311. The next prime is 1313303357. The reversal of 1313303319 is 9133033131.

It is a happy number.

1313303319 is a `hidden beast` number, since 1 + 313 + 30 + 3 + 319 = 666.

It is not a de Polignac number, because 1313303319 - 23 = 1313303311 is a prime.

It is a super-2 number, since 2×13133033192 = 3449531215392831522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313303292 and 1313303301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313303311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96879 + ... + 109599.

It is an arithmetic number, because the mean of its divisors is an integer number (158109016).

Almost surely, 21313303319 is an apocalyptic number.

1313303319 is a deficient number, since it is larger than the sum of its proper divisors (584004873).

1313303319 is a wasteful number, since it uses less digits than its factorization.

1313303319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24198 (or 24195 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 1313303319 is about 36239.5270250593. The cubic root of 1313303319 is about 1095.1031140777.

The spelling of 1313303319 in words is "one billion, three hundred thirteen million, three hundred three thousand, three hundred nineteen".

Divisors: 1 3 9 11471 12721 34413 38163 103239 114489 145922591 437767773 1313303319