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21021020011112 = 23113763130793323
BaseRepresentation
bin1001100011110010101100…
…11011100011101001101000
32202102120221000202010120212
410301321112123203221220
510223402022110323422
6112412531232240252
74266501320642102
oct461712633435150
982376830663525
1021021020011112
116774a67863440
1224360210a0088
13b9637337c874
145295cc226572
15266c11b9d9e2
hex131e566e3a68

21021020011112 has 128 divisors (see below), whose sum is σ = 44257299609600. Its totient is φ = 9276225235200.

The previous prime is 21021020011097. The next prime is 21021020011129. The reversal of 21021020011112 is 21111002012012.

It is a super-2 number, since 2×210210200111122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6325914683 + ... + 6325918005.

It is an arithmetic number, because the mean of its divisors is an integer number (345760153200).

Almost surely, 221021020011112 is an apocalyptic number.

21021020011112 is a gapful number since it is divisible by the number (22) 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 21021020011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128649804800).

21021020011112 is an abundant number, since it is smaller than the sum of its proper divisors (23236279598488).

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

21021020011112 is a wasteful number, since it uses less digits than its factorization.

21021020011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21021020011112 its reverse (21111002012012), we get a palindrome (42132022023124).

Subtracting 21021020011112 from its reverse (21111002012012), we obtain a square (89982000900 = 2999702).

The spelling of 21021020011112 in words is "twenty-one trillion, twenty-one billion, twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 631 814 1262 1628 2524 3079 3256 3323 5048 6158 6646 6941 12316 13292 13882 23347 24632 26584 27764 33869 36553 46694 55528 67738 73106 93388 113923 122951 135476 146212 186776 227846 245902 256817 270952 292424 455692 491804 513634 911384 983608 1027268 1253153 1352461 1942849 2054536 2096813 2506306 2704922 3885698 4193626 5012612 5409844 7771396 8387252 10025224 10231517 10819688 15542792 16774504 20463034 21371339 23064943 40926068 42742678 46129886 71885413 77582081 81852136 85485356 92259772 112546687 143770826 155164162 170970712 184519544 225093374 287541652 310328324 378566129 450186748 575083304 620656648 757132258 790739543 853402891 900373496 1514264516 1581479086 1706805782 3028529032 3162958172 3413611564 4164227419 6325916344 6456087227 6827223128 8328454838 12912174454 16656909676 25824348908 33313819352 51648697816 71016959497 142033918994 238875227399 284067837988 477750454798 568135675976 955500909596 1911001819192 2627627501389 5255255002778 10510510005556 21021020011112