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22000112111100 = 2235283982989891
BaseRepresentation
bin1010000000010010011001…
…10111100000110111111100
32212220012010122021012010210
411000021030313200313330
510340422212200023400
6114442413442032420
74430312200323324
oct500111467406774
985805118235123
1022000112111100
117012216821622
122573929048710
13c377a8b3c326
14560b4d972284
15282417b0b950
hex14024cde0dfc

22000112111100 has 144 divisors (see below), whose sum is σ = 64427840104320. Its totient is φ = 5795359315200.

The previous prime is 22000112111069. The next prime is 22000112111119. The reversal of 22000112111100 is 111121100022.

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

It is a congruent number.

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, 244697155 + ... + 244787045.

It is an arithmetic number, because the mean of its divisors is an integer number (447415556280).

Almost surely, 222000112111100 is an apocalyptic number.

22000112111100 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 22000112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32213920052160).

22000112111100 is an abundant number, since it is smaller than the sum of its proper divisors (42427727993220).

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

22000112111100 is a wasteful number, since it uses less digits than its factorization.

22000112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99820 (or 99813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22000112111100 its reverse (111121100022), we get a palindrome (22111233211122).

The spelling of 22000112111100 in words is "twenty-two trillion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 9829 12450 19658 24900 29487 39316 49145 58974 89891 98290 117948 147435 179782 196580 245725 269673 294870 359564 449455 491450 539346 589740 737175 815807 898910 982900 1078692 1348365 1474350 1631614 1797820 2247275 2447421 2696730 2948700 3263228 4079035 4494550 4894842 5393460 6741825 7460953 8158070 8989100 9789684 12237105 13483650 14921906 16316140 20395175 22382859 24474210 26967300 29843812 37304765 40790350 44765718 48948420 61185525 74609530 81580700 89531436 111914295 122371050 149219060 186523825 223828590 244742100 373047650 447657180 559571475 746095300 883538639 1119142950 1767077278 2238285900 2650615917 3534154556 4417693195 5301231834 8835386390 10602463668 13253079585 17670772780 22088465975 26506159170 44176931950 53012318340 66265397925 73333707037 88353863900 132530795850 146667414074 220001121111 265061591700 293334828148 366668535185 440002242222 733337070370 880004484444 1100005605555 1466674140740 1833342675925 2200011211110 3666685351850 4400022422220 5500028027775 7333370703700 11000056055550 22000112111100