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10331120320 = 2651710118803
BaseRepresentation
bin10011001111100100…
…00110001011000000
3222122222211021210221
421213302012023000
5132124231322240
64425051432424
7514005034213
oct114762061300
928588737727
1010331120320
114421714674
122003a55714
13c88493161
1470011777a
15406eb7a4a
hex267c862c0

10331120320 has 112 divisors (see below), whose sum is σ = 26307397728. Its totient is φ = 3850649600.

The previous prime is 10331120311. The next prime is 10331120321. The reversal of 10331120320 is 2302113301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10331120294 and 10331120303.

It is not an unprimeable number, because it can be changed into a prime (10331120321) 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, 540039 + ... + 558841.

Almost surely, 210331120320 is an apocalyptic number.

10331120320 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 10331120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153698864).

10331120320 is an abundant number, since it is smaller than the sum of its proper divisors (15976277408).

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

10331120320 is a wasteful number, since it uses less digits than its factorization.

10331120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18938 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10331120320 its reverse (2302113301), we get a palindrome (12633233621).

The spelling of 10331120320 in words is "ten billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 101 136 160 170 202 272 320 340 404 505 544 680 808 1010 1088 1360 1616 1717 2020 2720 3232 3434 4040 5440 6464 6868 8080 8585 13736 16160 17170 18803 27472 32320 34340 37606 54944 68680 75212 94015 109888 137360 150424 188030 274720 300848 319651 376060 549440 601696 639302 752120 1203392 1278604 1504240 1598255 1899103 2557208 3008480 3196510 3798206 5114416 6016960 6393020 7596412 9495515 10228832 12786040 15192824 18991030 20457664 25572080 30385648 32284751 37982060 51144160 60771296 64569502 75964120 102288320 121542592 129139004 151928240 161423755 258278008 303856480 322847510 516556016 607712960 645695020 1033112032 1291390040 2066224064 2582780080 5165560160 10331120320