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22013021100 = 22352726339857
BaseRepresentation
bin10100100000000101…
…000000101110101100
32002211010101100001210
4110200011000232230
5330040313133400
614040155234420
71406334410040
oct244005005654
962733340053
1022013021100
11937685a624
124324148a10
1320ca760995
1410cb7b0020
1588c851950
hex520140bac

22013021100 has 144 divisors (see below), whose sum is σ = 73068323328. Its totient is φ = 5012290560.

The previous prime is 22013021071. The next prime is 22013021111. The reversal of 22013021100 is 112031022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532372 + ... + 572228.

It is an arithmetic number, because the mean of its divisors is an integer number (507418912).

Almost surely, 222013021100 is an apocalyptic number.

22013021100 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 22013021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36534161664).

22013021100 is an abundant number, since it is smaller than the sum of its proper divisors (51055302228).

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

22013021100 is a wasteful number, since it uses less digits than its factorization.

22013021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40144 (or 40137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22013021100 its reverse (112031022), we get a palindrome (22125052122).

The spelling of 22013021100 in words is "twenty-two billion, thirteen million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 263 300 350 420 525 526 700 789 1050 1052 1315 1578 1841 2100 2630 3156 3682 3945 5260 5523 6575 7364 7890 9205 11046 13150 15780 18410 19725 22092 26300 27615 36820 39450 39857 46025 55230 78900 79714 92050 110460 119571 138075 159428 184100 199285 239142 276150 278999 398570 478284 552300 557998 597855 797140 836997 996425 1115996 1195710 1394995 1673994 1992850 2391420 2789990 2989275 3347988 3985700 4184985 5579980 5978550 6974975 8369970 10482391 11957100 13949950 16739940 20924925 20964782 27899900 31447173 41849850 41929564 52411955 62894346 73376737 83699700 104823910 125788692 146753474 157235865 209647820 220130211 262059775 293506948 314471730 366883685 440260422 524119550 628943460 733767370 786179325 880520844 1048239100 1100651055 1467534740 1572358650 1834418425 2201302110 3144717300 3668836850 4402604220 5503255275 7337673700 11006510550 22013021100