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110200002220 = 225711224126993
BaseRepresentation
bin110011010100001101…
…1101001011010101100
3101112110000202010211201
41212220123221122230
53301142200032340
6122343012255244
710650600364210
oct1465033513254
9345400663751
10110200002220
1142810034800
1219435911524
13a512a85209
1454959a6940
152cee95279a
hex19a86e96ac

110200002220 has 144 divisors (see below), whose sum is σ = 291926505024. Its totient is φ = 34204262400.

The previous prime is 110200002203. The next prime is 110200002247. The reversal of 110200002220 is 22200002011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110200002197 and 110200002206.

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 47 ways as a sum of consecutive naturals, for example, 4069044 + ... + 4096036.

It is an arithmetic number, because the mean of its divisors is an integer number (2027267396).

Almost surely, 2110200002220 is an apocalyptic number.

110200002220 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 110200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145963252512).

110200002220 is an abundant number, since it is smaller than the sum of its proper divisors (181726502804).

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

110200002220 is a wasteful number, since it uses less digits than its factorization.

110200002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27272 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 110200002220 its reverse (22200002011), we get a palindrome (132400004231).

The spelling of 110200002220 in words is "one hundred ten billion, two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 241 242 308 385 482 484 605 770 847 964 1205 1210 1540 1687 1694 2410 2420 2651 3374 3388 4235 4820 5302 6748 8435 8470 10604 13255 16870 16940 18557 26510 26993 29161 33740 37114 53020 53986 58322 74228 92785 107972 116644 134965 145805 185570 188951 204127 269930 291610 296923 371140 377902 408254 539860 583220 593846 755804 816508 944755 1020635 1187692 1484615 1889510 2041270 2078461 2969230 3266153 3779020 4082540 4156922 5938460 6505313 6532306 8313844 10392305 13010626 13064612 16330765 20784610 22863071 26021252 32526565 32661530 41569220 45537191 45726142 65053130 65323060 71558443 91074382 91452284 114315355 130106260 143116886 182148764 227685955 228630710 286233772 357792215 455371910 457261420 500909101 715584430 787142873 910743820 1001818202 1431168860 1574285746 2003636404 2504545505 3148571492 3935714365 5009091010 5510000111 7871428730 10018182020 11020000222 15742857460 22040000444 27550000555 55100001110 110200002220