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22000110112100 = 22521671555184713
BaseRepresentation
bin1010000000010010011001…
…01111111000110101100100
32212220012010111111122000202
411000021030233320311210
510340422211142041400
6114442413331130032
74430312144326331
oct500111457706544
985805114448022
1022000110112100
11701221568675a
122573928443918
13c377a85bc4a3
14560b4d5b1988
152824178644d5
hex14024cbf8d64

22000110112100 has 72 divisors (see below), whose sum is σ = 48029763898368. Its totient is φ = 8746683424000.

The previous prime is 22000110112093. The next prime is 22000110112121. The reversal of 22000110112100 is 121101100022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259659344 + ... + 259744056.

It is an arithmetic number, because the mean of its divisors is an integer number (667080054144).

Almost surely, 222000110112100 is an apocalyptic number.

22000110112100 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 22000110112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014881949184).

22000110112100 is an abundant number, since it is smaller than the sum of its proper divisors (26029653786268).

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

22000110112100 is a wasteful number, since it uses less digits than its factorization.

22000110112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100445 (or 100438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22000110112100 its reverse (121101100022), we get a palindrome (22121211212122).

The spelling of 22000110112100 in words is "twenty-two trillion, one hundred ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 15551 16700 31102 62204 77755 84713 155510 169426 311020 338852 388775 423565 777550 847130 1555100 1694260 2117825 2597017 4235650 5194034 8471300 10388068 12985085 14147071 25970170 28294142 51940340 56588284 64925425 70735355 129850850 141470710 259701700 282941420 353676775 707353550 1317371863 1414707100 2634743726 5269487452 6586859315 13173718630 26347437260 32934296575 65868593150 131737186300 220001101121 440002202242 880004404484 1100005505605 2200011011210 4400022022420 5500027528025 11000055056050 22000110112100