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1313331024 = 243414671429
BaseRepresentation
bin100111001000111…
…1101011101010000
310101112021010110210
41032101331131100
510142203043044
6334153124120
744355062265
oct11621753520
93345233423
101313331024
11614383045
123079b9640
1317c124a65
14c65d126c
157a4751b9
hex4e47d750

1313331024 has 80 divisors (see below), whose sum is σ = 3485401920. Its totient is φ = 425886720.

The previous prime is 1313331023. The next prime is 1313331029. The reversal of 1313331024 is 4201333131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313331023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918342 + ... + 919770.

It is an arithmetic number, because the mean of its divisors is an integer number (43567524).

Almost surely, 21313331024 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 1313331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742700960).

1313331024 is an abundant number, since it is smaller than the sum of its proper divisors (2172070896).

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

1313331024 is a wasteful number, since it uses less digits than its factorization.

1313331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

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

The square root of 1313331024 is about 36239.9092714096. The cubic root of 1313331024 is about 1095.1108146645.

Adding to 1313331024 its reverse (4201333131), we get a palindrome (5514664155).

The spelling of 1313331024 in words is "one billion, three hundred thirteen million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 467 492 656 934 984 1401 1429 1868 1968 2802 2858 3736 4287 5604 5716 7472 8574 11208 11432 17148 19147 22416 22864 34296 38294 57441 58589 68592 76588 114882 117178 153176 175767 229764 234356 306352 351534 459528 468712 667343 703068 919056 937424 1334686 1406136 2002029 2669372 2812272 4004058 5338744 8008116 10677488 16016232 27361063 32032464 54722126 82083189 109444252 164166378 218888504 328332756 437777008 656665512 1313331024