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21011022000020 = 22513374153270681
BaseRepresentation
bin1001100011100000000101…
…00000001010111110010100
32202101122010020201112201202
410301300002200022332110
510223221033113000040
6112404155200212032
74265665466152523
oct461600240127624
982348106645652
1021011022000020
1167707a7187758
1224340b090a018
13b9543bc0a780
14528d204604ba
15266829085015
hex131c0280af94

21011022000020 has 96 divisors (see below), whose sum is σ = 49991764981536. Its totient is φ = 7364138803200.

The previous prime is 21011021999977. The next prime is 21011022000049. The reversal of 21011022000020 is 2000022011012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3573014818564 + 17438007181456 = 1890242^2 + 4175884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21011021999965 and 21011022000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26240921 + ... + 27029760.

It is an arithmetic number, because the mean of its divisors is an integer number (520747551891).

Almost surely, 221011022000020 is an apocalyptic number.

21011022000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011022000020 is an abundant number, since it is smaller than the sum of its proper divisors (28980742981516).

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

21011022000020 is a wasteful number, since it uses less digits than its factorization.

21011022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53270781 (or 53270779 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21011022000020 its reverse (2000022011012), we get a palindrome (23011044011032).

The spelling of 21011022000020 in words is "twenty-one trillion, eleven billion, twenty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 13 20 26 37 41 52 65 74 82 130 148 164 185 205 260 370 410 481 533 740 820 962 1066 1517 1924 2132 2405 2665 3034 4810 5330 6068 7585 9620 10660 15170 19721 30340 39442 78884 98605 197210 394420 53270681 106541362 213082724 266353405 532706810 692518853 1065413620 1385037706 1971015197 2184097921 2770075412 3462594265 3942030394 4368195842 6925188530 7884060788 8736391684 9855075985 10920489605 13850377060 19710151970 21840979210 25623197561 28393272973 39420303940 43681958420 51246395122 56786545946 80811623077 102492790244 113573091892 128115987805 141966364865 161623246154 256231975610 283932729730 323246492308 404058115385 512463951220 567865459460 808116230770 1050551100001 1616232461540 2101102200002 4202204400004 5252755500005 10505511000010 21011022000020