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22000111100 = 225211215112041
BaseRepresentation
bin10100011111010011…
…110000110111111100
32002210020002102212122
4110133103300313330
5330024012023400
614035014422112
71406116600412
oct243723606774
962706072778
1022000111100
11936a542100
12431b961938
1320c7b90726
1410c9bad2b2
1588b651685
hex51f4f0dfc

22000111100 has 108 divisors (see below), whose sum is σ = 52826712624. Its totient is φ = 7946400000.

The previous prime is 22000111079. The next prime is 22000111129. The reversal of 22000111100 is 111100022.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1821080 + ... + 1833120.

It is an arithmetic number, because the mean of its divisors is an integer number (489136228).

Almost surely, 222000111100 is an apocalyptic number.

22000111100 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 22000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413356312).

22000111100 is an abundant number, since it is smaller than the sum of its proper divisors (30826601524).

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

22000111100 is a wasteful number, since it uses less digits than its factorization.

22000111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22000111100 its reverse (111100022), we get a palindrome (22111211122).

The spelling of 22000111100 in words is "twenty-two billion, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 151 220 242 275 302 484 550 604 605 755 1100 1210 1510 1661 2420 3020 3025 3322 3775 6050 6644 7550 8305 12041 12100 15100 16610 18271 24082 33220 36542 41525 48164 60205 73084 83050 91355 120410 132451 166100 182710 240820 264902 301025 365420 456775 529804 602050 662255 913550 1204100 1324510 1456961 1818191 1827100 2649020 2913922 3311275 3636382 5827844 6622550 7272764 7284805 9090955 13245100 14569610 18181910 20000101 29139220 36363820 36424025 40000202 45454775 72848050 80000404 90909550 100000505 145696100 181819100 200001010 220001111 400002020 440002222 500002525 880004444 1000005050 1100005555 2000010100 2200011110 4400022220 5500027775 11000055550 22000111100