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21210200100 = 22325223566889
BaseRepresentation
bin10011110000001110…
…011111100000100100
32000202011201210200200
4103300032133200210
5321414302400400
613424400110500
71350415504035
oct236016374044
960664653620
1021210200100
118aa46722a1
12413b305430
132000330a7b
141052d0ca8c
1584211db00
hex4f039f824

21210200100 has 54 divisors (see below), whose sum is σ = 66482196690. Its totient is φ = 5656053120.

The previous prime is 21210200071. The next prime is 21210200107. The reversal of 21210200100 is 100201212.

It can be written as a sum of positive squares in 3 ways, for example, as 4883493924 + 16326706176 = 69882^2 + 127776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21210200107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11782545 + ... + 11784344.

Almost surely, 221210200100 is an apocalyptic number.

21210200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210200100 is an abundant number, since it is smaller than the sum of its proper divisors (45271996590).

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

21210200100 is a wasteful number, since it uses less digits than its factorization.

21210200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23566909 (or 23566899 counting only the distinct ones).

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

Adding to 21210200100 its reverse (100201212), we get a palindrome (21310401312).

The spelling of 21210200100 in words is "twenty-one billion, two hundred ten million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23566889 47133778 70700667 94267556 117834445 141401334 212102001 235668890 282802668 353503335 424204002 471337780 589172225 707006670 848408004 1060510005 1178344450 1414013340 1767516675 2121020010 2356688900 3535033350 4242040020 5302550025 7070066700 10605100050 21210200100