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21112222221020 = 22572192814035041
BaseRepresentation
bin1001100110011100100101…
…00000011000001011011100
32202202022100001210102200002
410303032102200120023130
510231400312342033040
6112522453200153432
74306210355636600
oct463162240301334
982668301712602
1021112222221020
1167aa70905a637
12244b834608878
13ba1b4928b148
1452dba0a6b500
1526929d850a15
hex1333928182dc

21112222221020 has 144 divisors (see below), whose sum is σ = 54481782690720. Its totient is φ = 6833098137600.

The previous prime is 21112222221019. The next prime is 21112222221059. The reversal of 21112222221020 is 2012222221112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21112222220983 and 21112222221001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214700 + ... + 7249740.

It is an arithmetic number, because the mean of its divisors is an integer number (378345713130).

Almost surely, 221112222221020 is an apocalyptic number.

21112222221020 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 21112222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27240891345360).

21112222221020 is an abundant number, since it is smaller than the sum of its proper divisors (33369560469700).

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

21112222221020 is a wasteful number, since it uses less digits than its factorization.

21112222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035364 (or 4035355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21112222221020 its reverse (2012222221112), we get a palindrome (23124444442132).

The spelling of 21112222221020 in words is "twenty-one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 281 380 490 532 562 665 931 980 1124 1330 1405 1862 1967 2660 2810 3724 3934 4655 5339 5620 7868 9310 9835 10678 13769 18620 19670 21356 26695 27538 37373 39340 53390 55076 68845 74746 106780 137690 149492 186865 261611 275380 373730 523222 747460 1046444 1308055 2616110 4035041 5232220 8070082 16140164 20175205 28245287 40350410 56490574 76665779 80700820 112981148 141226435 153331558 197717009 282452870 306663116 383328895 395434018 536660453 564905740 766657790 790868036 988585045 1073320906 1133846521 1533315580 1977170090 2146641812 2267693042 2683302265 3756623171 3954340180 4535386084 5366604530 5669232605 7513246342 7936925647 10733209060 11338465210 15026492684 15873851294 18783115855 21543083899 22676930420 31747702588 37566231710 39684628235 43086167798 55558479529 75132463420 79369256470 86172335596 107715419495 111116959058 150801587293 158738512940 215430838990 222233918116 277792397645 301603174586 430861677980 555584795290 603206349172 754007936465 1055611111051 1111169590580 1508015872930 2111222222102 3016031745860 4222444444204 5278055555255 10556111110510 21112222221020