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20332120120 = 235133710110463
BaseRepresentation
bin10010111011111000…
…111000100000111000
31221110222110201101221
4102323320320200320
5313120010320440
613201311521424
71316564112064
oct227370704070
957428421357
1020332120120
118693a51864
123b35229274
131bc0440710
14dac45aaa4
157deec1d4a
hex4bbe38838

20332120120 has 128 divisors (see below), whose sum is σ = 51103664640. Its totient is φ = 7231334400.

The previous prime is 20332120091. The next prime is 20332120121. The reversal of 20332120120 is 2102123302.

It is a junction number, because it is equal to n+sod(n) for n = 20332120094 and 20332120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938009 + ... + 1948471.

It is an arithmetic number, because the mean of its divisors is an integer number (399247380).

Almost surely, 220332120120 is an apocalyptic number.

20332120120 is a gapful number since it is divisible by the number (20) 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 20332120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551832320).

20332120120 is an abundant number, since it is smaller than the sum of its proper divisors (30771544520).

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

20332120120 is a wasteful number, since it uses less digits than its factorization.

20332120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20332120120 its reverse (2102123302), we get a palindrome (22434243422).

The spelling of 20332120120 in words is "twenty billion, three hundred thirty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 101 104 130 148 185 202 260 296 370 404 481 505 520 740 808 962 1010 1313 1480 1924 2020 2405 2626 3737 3848 4040 4810 5252 6565 7474 9620 10463 10504 13130 14948 18685 19240 20926 26260 29896 37370 41852 48581 52315 52520 74740 83704 97162 104630 136019 149480 194324 209260 242905 272038 387131 388648 418520 485810 544076 680095 774262 971620 1056763 1088152 1360190 1548524 1935655 1943240 2113526 2720380 3097048 3871310 4227052 5032703 5283815 5440760 7742620 8454104 10065406 10567630 13737919 15485240 20130812 21135260 25163515 27475838 39100231 40261624 42270520 50327030 54951676 68689595 78200462 100654060 109903352 137379190 156400924 195501155 201308120 274758380 312801848 391002310 508303003 549516760 782004620 1016606006 1564009240 2033212012 2541515015 4066424024 5083030030 10166060060 20332120120