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20331120120 = 23355312725171
BaseRepresentation
bin10010111011110101…
…000100010111111000
31221110220120220122220
4102323311010113320
5313114231320440
613201234244040
71316552445453
oct227365042770
957426526586
1020331120120
118693429513
123b34a26620
131bc01804bc
14dac27a49a
157ded758d0
hex4bbd445f8

20331120120 has 128 divisors (see below), whose sum is σ = 62635991040. Its totient is φ = 5277242880.

The previous prime is 20331120113. The next prime is 20331120137. The reversal of 20331120120 is 2102113302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20331120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795135 + ... + 820305.

It is an arithmetic number, because the mean of its divisors is an integer number (489343680).

Almost surely, 220331120120 is an apocalyptic number.

20331120120 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 20331120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31317995520).

20331120120 is an abundant number, since it is smaller than the sum of its proper divisors (42304870920).

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

20331120120 is a wasteful number, since it uses less digits than its factorization.

20331120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20331120120 its reverse (2102113302), we get a palindrome (22433233422).

The spelling of 20331120120 in words is "twenty billion, three hundred thirty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 127 159 212 254 265 318 381 424 508 530 635 636 762 795 1016 1060 1270 1272 1524 1590 1905 2120 2540 3048 3180 3810 5080 6360 6731 7620 13462 15240 20193 25171 26924 33655 40386 50342 53848 67310 75513 80772 100684 100965 125855 134620 151026 161544 201368 201930 251710 269240 302052 377565 403860 503420 604104 755130 807720 1006840 1334063 1510260 2668126 3020520 3196717 4002189 5336252 6393434 6670315 8004378 9590151 10672504 12786868 13340630 15983585 16008756 19180302 20010945 25573736 26681260 31967170 32017512 38360604 40021890 47950755 53362520 63934340 76721208 80043780 95901510 127868680 160087560 169426001 191803020 338852002 383606040 508278003 677704004 847130005 1016556006 1355408008 1694260010 2033112012 2541390015 3388520020 4066224024 5082780030 6777040040 10165560060 20331120120