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110222022020 = 225112961328183
BaseRepresentation
bin110011010100110111…
…1101001010110000100
3101112111120011212022212
41212221233221112010
53301213314201040
6122345120242552
710651255504655
oct1465157512604
9345446155285
10110222022020
1142821504590
1219441170458
13a5174c4a96
14549889952c
152d01851d65
hex19a9be9584

110222022020 has 96 divisors (see below), whose sum is σ = 261651237120. Its totient is φ = 38634140160.

The previous prime is 110222022017. The next prime is 110222022023. The reversal of 110222022020 is 20220222011.

It is an interprime number because it is at equal distance from previous prime (110222022017) and next prime (110222022023).

It is a junction number, because it is equal to n+sod(n) for n = 110222021986 and 110222022004.

It is not an unprimeable number, because it can be changed into a prime (110222022023) by changing a digit.

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, 3896849 + ... + 3925031.

It is an arithmetic number, because the mean of its divisors is an integer number (2725533720).

Almost surely, 2110222022020 is an apocalyptic number.

110222022020 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 110222022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130825618560).

110222022020 is an abundant number, since it is smaller than the sum of its proper divisors (151429215100).

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

110222022020 is a wasteful number, since it uses less digits than its factorization.

110222022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28845 (or 28843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 110222022020 its reverse (20220222011), we get a palindrome (130442244031).

Subtracting from 110222022020 its reverse (20220222011), we obtain a square (90001800009 = 3000032).

The spelling of 110222022020 in words is "one hundred ten billion, two hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 613 638 1226 1276 1595 2452 3065 3190 6130 6380 6743 12260 13486 17777 26972 28183 33715 35554 56366 67430 71108 88885 112732 134860 140915 177770 195547 281830 310013 355540 391094 563660 620026 782188 817307 977735 1240052 1550065 1634614 1955470 3100130 3269228 3910940 4086535 6200260 8173070 8990377 16346140 17276179 17980754 34552358 35961508 44951885 69104716 86380895 89903770 172761790 179807540 190037969 345523580 380075938 501009191 760151876 950189845 1002018382 1900379690 2004036764 2505045955 3800759380 5010091910 5511101101 10020183820 11022202202 22044404404 27555505505 55111011010 110222022020