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1313322021 = 321123133853
BaseRepresentation
bin100111001000111…
…1011010000100101
310101112020200010100
41032101323100211
510142202301041
6334153014313
744355024114
oct11621732045
93345220110
101313322021
11614377300
123079b4399
1317c12092b
14c65cbc7b
157a4726b6
hex4e47b425

1313322021 has 36 divisors (see below), whose sum is σ = 2092359724. Its totient is φ = 793203840.

The previous prime is 1313322019. The next prime is 1313322041. The reversal of 1313322021 is 1202233131.

1313322021 is a `hidden beast` number, since 131 + 332 + 202 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 645668100 + 667653921 = 25410^2 + 25839^2 .

It is not a de Polignac number, because 1313322021 - 21 = 1313322019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313321985 and 1313322003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313322001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338931 + ... + 342783.

Almost surely, 21313322021 is an apocalyptic number.

1313322021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313322021 is a deficient number, since it is larger than the sum of its proper divisors (779037703).

1313322021 is a wasteful number, since it uses less digits than its factorization.

1313322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313322021 is about 36239.7850573096. The cubic root of 1313322021 is about 1095.1083122983.

Adding to 1313322021 its reverse (1202233131), we get a palindrome (2515555152).

The spelling of 1313322021 in words is "one billion, three hundred thirteen million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 121 313 363 939 1089 2817 3443 3853 10329 11559 30987 34677 37873 42383 113619 127149 340857 381447 466213 1205989 1398639 3617967 4195917 10853901 13265879 39797637 119392911 145924669 437774007 1313322021