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13024441320 = 23351125738393
BaseRepresentation
bin11000010000101000…
…10011001111101000
31020121200210011122120
430020110103033220
5203133224110240
65552222551240
7640520632062
oct141024231750
936550704576
1013024441320
115583a595a0
122635a38520
1312c747b817
148b7acc732
1551367dad0
hex3085133e8

13024441320 has 128 divisors (see below), whose sum is σ = 42792416640. Its totient is φ = 3145072640.

The previous prime is 13024441303. The next prime is 13024441321. The reversal of 13024441320 is 2314442031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13024441321) 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, 320044 + ... + 358436.

It is an arithmetic number, because the mean of its divisors is an integer number (334315755).

Almost surely, 213024441320 is an apocalyptic number.

13024441320 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 13024441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396208320).

13024441320 is an abundant number, since it is smaller than the sum of its proper divisors (29767975320).

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

13024441320 is a wasteful number, since it uses less digits than its factorization.

13024441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38675 (or 38671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13024441320 its reverse (2314442031), we get a palindrome (15338883351).

The spelling of 13024441320 in words is "thirteen billion, twenty-four million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 257 264 330 440 514 660 771 1028 1285 1320 1542 2056 2570 2827 3084 3855 5140 5654 6168 7710 8481 10280 11308 14135 15420 16962 22616 28270 30840 33924 38393 42405 56540 67848 76786 84810 113080 115179 153572 169620 191965 230358 307144 339240 383930 422323 460716 575895 767860 844646 921432 1151790 1266969 1535720 1689292 2111615 2303580 2533938 3378584 4223230 4607160 5067876 6334845 8446460 9867001 10135752 12669690 16892920 19734002 25339380 29601003 39468004 49335005 50678760 59202006 78936008 98670010 108537011 118404012 148005015 197340020 217074022 236808024 296010030 325611033 394680040 434148044 542685055 592020060 651222066 868296088 1085370110 1184040120 1302444132 1628055165 2170740220 2604888264 3256110330 4341480440 6512220660 13024441320