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1313303031 = 33791733559
BaseRepresentation
bin100111001000111…
…0110100111110111
310101112012201002000
41032101312213313
510142201144111
6334152350343
744354614545
oct11621664767
93345181060
101313303031
11614364007
123079a53b3
1317c1150b1
14c65c4d95
157a46bc56
hex4e4769f7

1313303031 has 32 divisors (see below), whose sum is σ = 1982208000. Its totient is φ = 859214304.

The previous prime is 1313303027. The next prime is 1313303039. The reversal of 1313303031 is 1303033131.

1313303031 is a `hidden beast` number, since 1 + 31 + 330 + 303 + 1 = 666.

It is not a de Polignac number, because 1313303031 - 22 = 1313303027 is a prime.

It is a super-2 number, since 2×13133030312 = 3449529702467573922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313302995 and 1313303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313303039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367230 + ... + 370788.

It is an arithmetic number, because the mean of its divisors is an integer number (61944000).

Almost surely, 21313303031 is an apocalyptic number.

1313303031 is a deficient number, since it is larger than the sum of its proper divisors (668904969).

1313303031 is a wasteful number, since it uses less digits than its factorization.

1313303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1313303031 is about 36239.5230514972. The cubic root of 1313303031 is about 1095.1030340277.

Adding to 1313303031 its reverse (1303033131), we get a palindrome (2616336162).

The spelling of 1313303031 in words is "one billion, three hundred thirteen million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 27 79 173 237 519 711 1557 2133 3559 4671 10677 13667 32031 41001 96093 123003 281161 369009 615707 843483 1847121 2530449 5541363 7591347 16624089 48640853 145922559 437767677 1313303031