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1313316432 = 24329120253
BaseRepresentation
bin100111001000111…
…1001111001010000
310101112020101110100
41032101321321100
510142202111212
6334152532400
744355001611
oct11621717120
93345211410
101313316432
1161437308a
123079b1100
1317c11b21c
14c65c9c08
157a470bdc
hex4e479e50

1313316432 has 30 divisors (see below), whose sum is σ = 3675462362. Its totient is φ = 437772096.

The previous prime is 1313316427. The next prime is 1313316437. The reversal of 1313316432 is 2346133131.

1313316432 is a `hidden beast` number, since 1 + 3 + 13 + 3 + 1 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1313316427) and next prime (1313316437).

It can be written as a sum of positive squares in only one way, i.e., 1229484096 + 83832336 = 35064^2 + 9156^2 .

It is a super-2 number, since 2×13133164322 = 3449600101122421248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313316396 and 1313316405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313316437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4559983 + ... + 4560270.

Almost surely, 21313316432 is an apocalyptic number.

1313316432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313316432 is an abundant number, since it is smaller than the sum of its proper divisors (2362145930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313316432 is a wasteful number, since it uses less digits than its factorization.

1313316432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120267 (or 9120258 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1313316432 is about 36239.7079458431. The cubic root of 1313316432 is about 1095.1067588410.

Adding to 1313316432 its reverse (2346133131), we get a palindrome (3659449563).

The spelling of 1313316432 in words is "one billion, three hundred thirteen million, three hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9120253 18240506 27360759 36481012 54721518 72962024 82082277 109443036 145924048 164164554 218886072 328329108 437772144 656658216 1313316432