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1324313113020 = 2235101563388159
BaseRepresentation
bin10011010001010111001…
…101100111000110111100
311200121021122202120020120
4103101113031213012330
5133144143124104040
62452214150014540
7164451466504662
oct23212715470674
94617248676216
101324313113020
11470702255927
121947b1947450
1397b61233051
144815060cc32
15246ad6657d0
hex134573671bc

1324313113020 has 96 divisors (see below), whose sum is σ = 3751451504640. Its totient is φ = 349031673600.

The previous prime is 1324313113007. The next prime is 1324313113027. The reversal of 1324313113020 is 203113134231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324313113027) 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, 3217701 + ... + 3605859.

It is an arithmetic number, because the mean of its divisors is an integer number (39077619840).

Almost surely, 21324313113020 is an apocalyptic number.

1324313113020 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 1324313113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875725752320).

1324313113020 is an abundant number, since it is smaller than the sum of its proper divisors (2427138391620).

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

1324313113020 is a wasteful number, since it uses less digits than its factorization.

1324313113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388835 (or 388833 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1324313113020 its reverse (203113134231), we get a palindrome (1527426247251).

The spelling of 1324313113020 in words is "one trillion, three hundred twenty-four billion, three hundred thirteen million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 563 606 1010 1126 1212 1515 1689 2020 2252 2815 3030 3378 5630 6060 6756 8445 11260 16890 33780 56863 113726 170589 227452 284315 341178 388159 568630 682356 776318 852945 1137260 1164477 1552636 1705890 1940795 2328954 3411780 3881590 4657908 5822385 7763180 11644770 23289540 39204059 78408118 117612177 156816236 196020295 218533517 235224354 392040590 437067034 470448708 588060885 655600551 784081180 874134068 1092667585 1176121770 1311201102 2185335170 2352243540 2622402204 3278002755 4370670340 6556005510 13112011020 22071885217 44143770434 66215655651 88287540868 110359426085 132431311302 220718852170 264862622604 331078278255 441437704340 662156556510 1324313113020