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20021022120 = 23351116790823
BaseRepresentation
bin10010101001010110…
…001000110110101000
31220200022002022011210
4102221112020312220
5312000340201440
613110355553120
71306065610611
oct225126106650
956608068153
1020021022120
118544388280
123a68bbb7a0
131b70b58368
14d7cdd8c08
157c2a1ea80
hex4a9588da8

20021022120 has 128 divisors (see below), whose sum is σ = 65916426240. Its totient is φ = 4824464640.

The previous prime is 20021022079. The next prime is 20021022127. The reversal of 20021022120 is 2122012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20021022096 and 20021022105.

It is not an unprimeable number, because it can be changed into a prime (20021022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175029 + ... + 265851.

It is an arithmetic number, because the mean of its divisors is an integer number (514972080).

Almost surely, 220021022120 is an apocalyptic number.

20021022120 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 20021022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32958213120).

20021022120 is an abundant number, since it is smaller than the sum of its proper divisors (45895404120).

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

20021022120 is a wasteful number, since it uses less digits than its factorization.

20021022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91015 (or 91011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20021022120 its reverse (2122012002), we get a palindrome (22143034122).

The spelling of 20021022120 in words is "twenty billion, twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 167 220 264 330 334 440 501 660 668 835 1002 1320 1336 1670 1837 2004 2505 3340 3674 4008 5010 5511 6680 7348 9185 10020 11022 14696 18370 20040 22044 27555 36740 44088 55110 73480 90823 110220 181646 220440 272469 363292 454115 544938 726584 908230 999053 1089876 1362345 1816460 1998106 2179752 2724690 2997159 3632920 3996212 4995265 5449380 5994318 7992424 9990530 10898760 11988636 14985795 15167441 19981060 23977272 29971590 30334882 39962120 45502323 59943180 60669764 75837205 91004646 119886360 121339528 151674410 166841851 182009292 227511615 303348820 333683702 364018584 455023230 500525553 606697640 667367404 834209255 910046460 1001051106 1334734808 1668418510 1820092920 2002102212 2502627765 3336837020 4004204424 5005255530 6673674040 10010511060 20021022120