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110022000220 = 225114130114051
BaseRepresentation
bin110011001110111010…
…0100111111001011100
3101111222121210201000001
41212131310213321130
53300311113001340
6122313213144044
710643306400016
oct1463564477134
9344877721001
10110022000220
1142729607210
12193a618b024
13a4b4c308a2
14547a0ad1b6
152cddee129a
hex199dd27e5c

110022000220 has 96 divisors (see below), whose sum is σ = 258347480832. Its totient is φ = 39009600000.

The previous prime is 110022000217. The next prime is 110022000223. The reversal of 110022000220 is 22000220011.

It is an interprime number because it is at equal distance from previous prime (110022000217) and next prime (110022000223).

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 = 110022000197 and 110022000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022000223) 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, 27157195 + ... + 27161245.

It is an arithmetic number, because the mean of its divisors is an integer number (2691119592).

Almost surely, 2110022000220 is an apocalyptic number.

110022000220 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 110022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129173740416).

110022000220 is an abundant number, since it is smaller than the sum of its proper divisors (148325480612).

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

110022000220 is a wasteful number, since it uses less digits than its factorization.

110022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7121 counting only the distinct ones).

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

Adding to 110022000220 its reverse (22000220011), we get a palindrome (132022220231).

The spelling of 110022000220 in words is "one hundred ten billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 3011 4051 4510 6022 8102 9020 12044 15055 16204 20255 30110 33121 40510 44561 60220 66242 81020 89122 123451 132484 165605 166091 178244 222805 246902 331210 332182 445610 493804 617255 662420 664364 830455 891220 1234510 1357961 1660910 1827001 2469020 2715922 3321820 3654002 5431844 6789805 7308004 9135005 12197561 13579610 18270010 24395122 27159220 36540020 48790244 60987805 121975610 134173171 243951220 268346342 500100001 536692684 670865855 1000200002 1341731710 2000400004 2500500005 2683463420 5001000010 5501100011 10002000020 11002200022 22004400044 27505500055 55011000110 110022000220