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22011100100 = 22521141488051
BaseRepresentation
bin10100011111111101…
…101011101111000100
32002210222202201221122
4110133331223233010
5330034320200400
614040050133112
71406312156333
oct243775535704
962728681848
1022011100100
119375768320
124323581198
1320ca23a4b2
1410cb42dd1a
1588c5c2685
hex51ff6bbc4

22011100100 has 72 divisors (see below), whose sum is σ = 53377271136. Its totient is φ = 7808800000.

The previous prime is 22011100093. The next prime is 22011100109. The reversal of 22011100100 is 100111022.

It is a super-2 number, since 2×220111001002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22011100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198926 + ... + 289125.

It is an arithmetic number, because the mean of its divisors is an integer number (741350988).

Almost surely, 222011100100 is an apocalyptic number.

22011100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011100100 is an abundant number, since it is smaller than the sum of its proper divisors (31366171036).

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

22011100100 is a wasteful number, since it uses less digits than its factorization.

22011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488117 (or 488110 counting only the distinct ones).

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

Adding to 22011100100 its reverse (100111022), we get a palindrome (22111211122).

The spelling of 22011100100 in words is "twenty-two billion, eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 488051 976102 1952204 2440255 4880510 5368561 9761020 10737122 12201275 20010091 21474244 24402550 26842805 40020182 48805100 53685610 80040364 100050455 107371220 134214025 200100910 220111001 268428050 400201820 440222002 500252275 536856100 880444004 1000504550 1100555005 2001009100 2201110010 4402220020 5502775025 11005550050 22011100100