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21211000020 = 22325716834127
BaseRepresentation
bin10011110000010001…
…100010110011010100
32000202020020102222100
4103300101202303110
5321420004000040
613424425202100
71350425345130
oct236021426324
960666212870
1021211000020
118aa5069291
12413b630330
132000550bb2
14105307a3c0
1584222ab30
hex4f0462cd4

21211000020 has 72 divisors (see below), whose sum is σ = 73531471104. Its totient is φ = 4848228288.

The previous prime is 21210999989. The next prime is 21211000073. The reversal of 21211000020 is 2000011212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21210999966 and 21211000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8415804 + ... + 8418323.

It is an arithmetic number, because the mean of its divisors is an integer number (1021270432).

Almost surely, 221211000020 is an apocalyptic number.

21211000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211000020 is an abundant number, since it is smaller than the sum of its proper divisors (52320471084).

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

21211000020 is a wasteful number, since it uses less digits than its factorization.

21211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16834149 (or 16834144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21211000020 its reverse (2000011212), we get a palindrome (23211011232).

The spelling of 21211000020 in words is "twenty-one billion, two hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 16834127 33668254 50502381 67336508 84170635 101004762 117838889 151507143 168341270 202009524 235677778 252511905 303014286 336682540 353516667 471355556 505023810 589194445 606028572 707033334 757535715 1010047620 1060550001 1178388890 1414066668 1515071430 1767583335 2121100002 2356777780 3030142860 3535166670 4242200004 5302750005 7070333340 10605500010 21211000020