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21210020100 = 2234522618521
BaseRepresentation
bin10011110000001101…
…110011100100000100
32000202011101122210000
4103300031303210010
5321414231120400
613424352201300
71350414124203
oct236015634404
960664348700
1021210020100
118aa455a035
12413b239230
132000299b69
141052ca323a
158420d5600
hex4f0373904

21210020100 has 90 divisors (see below), whose sum is σ = 68754532154. Its totient is φ = 5656003200.

The previous prime is 21210020053. The next prime is 21210020129. The reversal of 21210020100 is 102001212.

It can be written as a sum of positive squares in 3 ways, for example, as 2218975236 + 18991044864 = 47106^2 + 137808^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1301161 + ... + 1317360.

Almost surely, 221210020100 is an apocalyptic number.

21210020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210020100 is an abundant number, since it is smaller than the sum of its proper divisors (47544512054).

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

21210020100 is a wasteful number, since it uses less digits than its factorization.

21210020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618547 (or 2618531 counting only the distinct ones).

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

Adding to 21210020100 its reverse (102001212), we get a palindrome (21312021312).

The spelling of 21210020100 in words is "twenty-one billion, two hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2618521 5237042 7855563 10474084 13092605 15711126 23566689 26185210 31422252 39277815 47133378 52370420 65463025 70700067 78555630 94266756 117833445 130926050 141400134 157111260 196389075 212100201 235666890 261852100 282800268 353500335 392778150 424200402 471333780 589167225 707000670 785556300 848400804 1060501005 1178334450 1414001340 1767501675 2121002010 2356668900 3535003350 4242004020 5302505025 7070006700 10605010050 21210020100