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21002212100 = 22528312232069
BaseRepresentation
bin10011100011110101…
…000101001100000100
32000012200100220210102
4103203311011030010
5321003031241400
613352010143232
71342311600032
oct234365051404
960180326712
1021002212100
1189a8223891
1240a1721b18
131c9920a94c
14103344b552
1582dc379d5
hex4e3d45304

21002212100 has 72 divisors (see below), whose sum is σ = 46183919040. Its totient is φ = 8288874880.

The previous prime is 21002212093. The next prime is 21002212169. The reversal of 21002212100 is 121220012.

It is a happy 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, 10149866 + ... + 10151934.

It is an arithmetic number, because the mean of its divisors is an integer number (641443320).

Almost surely, 221002212100 is an apocalyptic number.

21002212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091959520).

21002212100 is an abundant number, since it is smaller than the sum of its proper divisors (25181706940).

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

21002212100 is a wasteful number, since it uses less digits than its factorization.

21002212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3382 counting only the distinct ones).

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

Adding to 21002212100 its reverse (121220012), we get a palindrome (21123432112).

The spelling of 21002212100 in words is "twenty-one billion, two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1223 1660 2069 2075 2446 4138 4150 4892 6115 8276 8300 10345 12230 20690 24460 30575 41380 51725 61150 101509 103450 122300 171727 203018 206900 343454 406036 507545 686908 858635 1015090 1717270 2030180 2530387 2537725 3434540 4293175 5060774 5075450 8586350 10121548 10150900 12651935 17172700 25303870 50607740 63259675 126519350 210022121 253038700 420044242 840088484 1050110605 2100221210 4200442420 5250553025 10501106050 21002212100