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22100110120 = 23511239210157
BaseRepresentation
bin10100100101010001…
…001110101100101000
32010001012020220202001
4110211101032230220
5330230112010440
614052550020344
71411442556634
oct244521165450
963035226661
1022100110120
119410a32920
1243493476b4
13211280394a
1410d919ddc4
15895305b9a
hex52544eb28

22100110120 has 64 divisors (see below), whose sum is σ = 54472953600. Its totient is φ = 8002740480.

The previous prime is 22100110117. The next prime is 22100110141. The reversal of 22100110120 is 2101100122.

It is a super-2 number, since 2×221001101202 (a number of 21 digits) contains 22 as substring.

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 = 22100110097 and 22100110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 210238.

It is an arithmetic number, because the mean of its divisors is an integer number (851139900).

Almost surely, 222100110120 is an apocalyptic number.

22100110120 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 22100110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27236476800).

22100110120 is an abundant number, since it is smaller than the sum of its proper divisors (32372843480).

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

22100110120 is a wasteful number, since it uses less digits than its factorization.

22100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210418 (or 210414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22100110120 its reverse (2101100122), we get a palindrome (24201210242).

The spelling of 22100110120 in words is "twenty-two billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 210157 420314 840628 1050785 1681256 2101570 2311727 4203140 4623454 8406280 9246908 11558635 18493816 23117270 46234540 50227523 92469080 100455046 200910092 251137615 401820184 502275230 552502753 1004550460 1105005506 2009100920 2210011012 2762513765 4420022024 5525027530 11050055060 22100110120