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21010122120020 = 225112333491174423
BaseRepresentation
bin1001100011011110011001…
…10111011001101101010100
32202101112210112102220102212
410301233030313121231110
510223212212230320040
6112403530012452552
74265634261253625
oct461571467315524
982345715386385
1021010122120020
116770385227580
122433a9b47a158
13b953276568b7
14528c76b35a4c
152667c507dd65
hex131bccdd9b54

21010122120020 has 96 divisors (see below), whose sum is σ = 48477404102400. Its totient is φ = 7585450767360.

The previous prime is 21010122120011. The next prime is 21010122120037. The reversal of 21010122120020 is 2002122101012.

It is a junction number, because it is equal to n+sod(n) for n = 21010122119977 and 21010122120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17302529 + ... + 18476951.

It is an arithmetic number, because the mean of its divisors is an integer number (504972959400).

Almost surely, 221010122120020 is an apocalyptic number.

21010122120020 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 21010122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238702051200).

21010122120020 is an abundant number, since it is smaller than the sum of its proper divisors (27467281982380).

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

21010122120020 is a wasteful number, since it uses less digits than its factorization.

21010122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175025 (or 1175023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21010122120020 its reverse (2002122101012), we get a palindrome (23012244221032).

The spelling of 21010122120020 in words is "twenty-one trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 349 466 698 932 1165 1396 1745 2330 2563 3490 3839 4660 5126 6980 7678 10252 12815 15356 19195 25630 38390 51260 76780 81317 162634 325268 406585 813170 894487 1174423 1626340 1788974 2348846 3577948 4472435 4697692 5872115 8944870 11744230 12918653 17889740 23488460 25837306 51674612 64593265 129186530 258373060 273640559 409873627 547281118 819747254 1094562236 1368202795 1639494508 2049368135 2736405590 3010046149 4098736270 4508609897 5472811180 6020092298 8197472540 9017219794 12040184596 15050230745 18034439588 22543049485 30100461490 45086098970 60200922980 90172197940 95500555091 191001110182 382002220364 477502775455 955005550910 1050506106001 1910011101820 2101012212002 4202024424004 5252530530005 10505061060010 21010122120020