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10120333320 = 2333510192779
BaseRepresentation
bin10010110110011100…
…00000100000001000
3222010022012012102000
421123032000200020
5131211301131240
64352121511000
7505535261646
oct113316004010
928108165360
1010120333320
114323734239
121b65342460
13c53900016
146c0128196
153e372c430
hex25b380808

10120333320 has 128 divisors (see below), whose sum is σ = 34068816000. Its totient is φ = 2672006400.

The previous prime is 10120333313. The next prime is 10120333361. The reversal of 10120333320 is 2333302101.

10120333320 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 333 + 320 = 666.

It is a super-2 number, since 2×101203333202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120333293 and 10120333302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62691 + ... + 155469.

It is an arithmetic number, because the mean of its divisors is an integer number (266162625).

Almost surely, 210120333320 is an apocalyptic number.

10120333320 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 10120333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034408000).

10120333320 is an abundant number, since it is smaller than the sum of its proper divisors (23948482680).

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

10120333320 is a wasteful number, since it uses less digits than its factorization.

10120333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92900 (or 92890 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10120333320 its reverse (2333302101), we get a palindrome (12453635421).

The spelling of 10120333320 in words is "ten billion, one hundred twenty million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1212 1515 1818 2020 2424 2727 3030 3636 4040 4545 5454 6060 7272 9090 10908 12120 13635 18180 21816 27270 36360 54540 92779 109080 185558 278337 371116 463895 556674 742232 835011 927790 1113348 1391685 1670022 1855580 2226696 2505033 2783370 3340044 3711160 4175055 5010066 5566740 6680088 8350110 9370679 10020132 11133480 12525165 16700220 18741358 20040264 25050330 28112037 33400440 37482716 46853395 50100660 56224074 74965432 84336111 93706790 100201320 112448148 140560185 168672222 187413580 224896296 253008333 281120370 337344444 374827160 421680555 506016666 562240740 674688888 843361110 1012033332 1124481480 1265041665 1686722220 2024066664 2530083330 3373444440 5060166660 10120333320