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110220200220 = 223513277510137
BaseRepresentation
bin110011010100110100…
…0101100100100011100
3101112111102202022021210
41212221220230210130
53301212332401340
6122345013224420
710651234146414
oct1465150544434
9345442668253
10110220200220
114282047a869
1219440632110
13a5170077b0
145498543644
152d015e2180
hex19a9a2c91c

110220200220 has 96 divisors (see below), whose sum is σ = 333556792128. Its totient is φ = 27033126912.

The previous prime is 110220200183. The next prime is 110220200227. The reversal of 110220200220 is 22002022011.

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 = 110220200196 and 110220200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220200227) 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, 39009 + ... + 471128.

It is an arithmetic number, because the mean of its divisors is an integer number (3474549918).

Almost surely, 2110220200220 is an apocalyptic number.

110220200220 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 110220200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166778396064).

110220200220 is an abundant number, since it is smaller than the sum of its proper divisors (223336591908).

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

110220200220 is a wasteful number, since it uses less digits than its factorization.

110220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510439 (or 510437 counting only the distinct ones).

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

Adding to 110220200220 its reverse (22002022011), we get a palindrome (132222222231).

The spelling of 110220200220 in words is "one hundred ten billion, two hundred twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 277 390 554 780 831 1108 1385 1662 2770 3324 3601 4155 5540 7202 8310 10803 14404 16620 18005 21606 36010 43212 54015 72020 108030 216060 510137 1020274 1530411 2040548 2550685 3060822 5101370 6121644 6631781 7652055 10202740 13263562 15304110 19895343 26527124 30608220 33158905 39790686 66317810 79581372 99476715 132635620 141307949 198953430 282615898 397906860 423923847 565231796 706539745 847847694 1413079490 1695695388 1837003337 2119619235 2826158980 3674006674 4239238470 5511010011 7348013348 8478476940 9185016685 11022020022 18370033370 22044040044 27555050055 36740066740 55110100110 110220200220