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120021233020 = 225138912234241
BaseRepresentation
bin110111111000111010…
…0101010110101111100
3102110210111010100201121
41233301310222311330
53431300413424040
6131045331320324
711446144435153
oct1576164526574
9373714110647
10120021233020
114699a947877
121b316a500a4
13b41970caa0
145b480b259a
1531c6c9bc4a
hex1bf1d2ad7c

120021233020 has 96 divisors (see below), whose sum is σ = 274771647360. Its totient is φ = 43771453440.

The previous prime is 120021233011. The next prime is 120021233041. The reversal of 120021233020 is 20332120021.

It is a super-2 number, since 2×1200212330202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021232985 and 120021233003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28298100 + ... + 28302340.

It is an arithmetic number, because the mean of its divisors is an integer number (2862204660).

Almost surely, 2120021233020 is an apocalyptic number.

120021233020 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 120021233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137385823680).

120021233020 is an abundant number, since it is smaller than the sum of its proper divisors (154750414340).

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

120021233020 is a wasteful number, since it uses less digits than its factorization.

120021233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5573 counting only the distinct ones).

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

Adding to 120021233020 its reverse (20332120021), we get a palindrome (140353353041).

The spelling of 120021233020 in words is "one hundred twenty billion, twenty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1223 1780 2314 2446 4241 4628 4892 5785 6115 8482 11570 12230 15899 16964 21205 23140 24460 31798 42410 55133 63596 79495 84820 108847 110266 158990 217694 220532 275665 317980 377449 435388 544235 551330 754898 1088470 1102660 1415011 1509796 1887245 2176940 2830022 3774490 4906837 5186743 5660044 7075055 7548980 9813674 10373486 14150110 19627348 20746972 24534185 25933715 28300220 49068370 51867430 67427659 98136740 103734860 134855318 269710636 337138295 461620127 674276590 923240254 1348553180 1846480508 2308100635 4616201270 6001061651 9232402540 12002123302 24004246604 30005308255 60010616510 120021233020