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1313313024 = 2832958967
BaseRepresentation
bin100111001000111…
…1001000100000000
310101112020012210010
41032101321010000
510142202004044
6334152504520
744354655642
oct11621710400
93345205703
101313313024
11614370571
123079ab140
1317c1197ca
14c65c8892
157a46ebb9
hex4e479100

1313313024 has 72 divisors (see below), whose sum is σ = 3615917760. Its totient is φ = 422668288.

The previous prime is 1313313011. The next prime is 1313313031. The reversal of 1313313024 is 4203133131.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7212 + ... + 51755.

It is an arithmetic number, because the mean of its divisors is an integer number (50221080).

Almost surely, 21313313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

1313313024 is an abundant number, since it is smaller than the sum of its proper divisors (2302604736).

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

1313313024 is an equidigital number, since it uses as much as digits as its factorization.

1313313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59015 (or 59001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1313313024 is about 36239.6609255661. The cubic root of 1313313024 is about 1095.1058115885.

Adding to 1313313024 its reverse (4203133131), we get a palindrome (5516446155).

The spelling of 1313313024 in words is "one billion, three hundred thirteen million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 58967 117934 176901 235868 353802 471736 707604 943472 1415208 1710043 1886944 2830416 3420086 3773888 5130129 5660832 6840172 7547776 10260258 11321664 13680344 15095552 20520516 22643328 27360688 41041032 45286656 54721376 82082064 109442752 164164128 218885504 328328256 437771008 656656512 1313313024