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1313323500 = 223537011249
BaseRepresentation
bin100111001000111…
…1011100111101100
310101112020202011010
41032101323213230
510142202323000
6334153025220
744355031326
oct11621734754
93345222133
101313323500
11614378425
123079b5210
1317c1214c8
14c65cc616
157a472d50
hex4e47b9ec

1313323500 has 96 divisors (see below), whose sum is σ = 3832920000. Its totient is φ = 349440000.

The previous prime is 1313323499. The next prime is 1313323507. The reversal of 1313323500 is 53233131.

It is not an unprimeable number, because it can be changed into a prime (1313323507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050876 + ... + 1052124.

It is an arithmetic number, because the mean of its divisors is an integer number (39926250).

Almost surely, 21313323500 is an apocalyptic number.

1313323500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313323500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916460000).

1313323500 is an abundant number, since it is smaller than the sum of its proper divisors (2519596500).

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

1313323500 is a wasteful number, since it uses less digits than its factorization.

1313323500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1313323500 is about 36239.8054630540. The cubic root of 1313323500 is about 1095.1087233843.

Adding to 1313323500 its reverse (53233131), we get a palindrome (1366556631).

The spelling of 1313323500 in words is "one billion, three hundred thirteen million, three hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 701 750 1249 1402 1500 2103 2498 2804 3505 3747 4206 4996 6245 7010 7494 8412 10515 12490 14020 14988 17525 18735 21030 24980 31225 35050 37470 42060 52575 62450 70100 74940 87625 93675 105150 124900 156125 175250 187350 210300 262875 312250 350500 374700 468375 525750 624500 875549 936750 1051500 1751098 1873500 2626647 3502196 4377745 5253294 8755490 10506588 13133235 17510980 21888725 26266470 43777450 52532940 65666175 87554900 109443625 131332350 218887250 262664700 328330875 437774500 656661750 1313323500