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21210100200 = 23325211783389
BaseRepresentation
bin10011110000001110…
…000111000111101000
32000202011112201122200
4103300032013013220
5321414241201300
613424354020200
71350414606552
oct236016070750
960664481580
1021210100200
118aa4604233
12413b277660
1320002c7463
141052cc44d2
158420ee200
hex4f03871e8

21210100200 has 72 divisors (see below), whose sum is σ = 71230592550. Its totient is φ = 5656026240.

The previous prime is 21210100193. The next prime is 21210100207. The reversal of 21210100200 is 200101212.

It is an interprime number because it is at equal distance from previous prime (21210100193) and next prime (21210100207).

It can be written as a sum of positive squares in 3 ways, for example, as 15684556644 + 5525543556 = 125238^2 + 74334^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (21210100207) 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, 5889895 + ... + 5893494.

Almost surely, 221210100200 is an apocalyptic number.

21210100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210100200 is an abundant number, since it is smaller than the sum of its proper divisors (50020492350).

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

21210100200 is a wasteful number, since it uses less digits than its factorization.

21210100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783411 (or 11783399 counting only the distinct ones).

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

Adding to 21210100200 its reverse (200101212), we get a palindrome (21410201412).

The spelling of 21210100200 in words is "twenty-one billion, two hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11783389 23566778 35350167 47133556 58916945 70700334 94267112 106050501 117833890 141400668 176750835 212101002 235667780 282801336 294584725 353501670 424202004 471335560 530252505 589169450 707003340 848404008 883754175 1060505010 1178338900 1414006680 1767508350 2121010020 2356677800 2651262525 3535016700 4242020040 5302525050 7070033400 10605050100 21210100200