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21221010200 = 23521342119387
BaseRepresentation
bin10011110000110111…
…101110101100011000
32000202221002000100202
4103300313232230120
5321430034311300
613425423521332
71350606416255
oct236067565430
960687060322
1021221010200
118aaa786065
124142a59248
132002647290
14105452442c
15843056ad5
hex4f0deeb18

21221010200 has 96 divisors (see below), whose sum is σ = 53263101360. Its totient is φ = 7816435200.

The previous prime is 21221010179. The next prime is 21221010269. The reversal of 21221010200 is 201012212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084907 + ... + 1104293.

Almost surely, 221221010200 is an apocalyptic number.

21221010200 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 21221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26631550680).

21221010200 is an abundant number, since it is smaller than the sum of its proper divisors (32042091160).

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

21221010200 is a wasteful number, since it uses less digits than its factorization.

21221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19837 (or 19828 counting only the distinct ones).

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

Adding to 21221010200 its reverse (201012212), we get a palindrome (21422022412).

The spelling of 21221010200 in words is "twenty-one billion, two hundred twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 421 520 650 842 1300 1684 2105 2600 3368 4210 5473 8420 10525 10946 16840 19387 21050 21892 27365 38774 42100 43784 54730 77548 84200 96935 109460 136825 155096 193870 218920 252031 273650 387740 484675 504062 547300 775480 969350 1008124 1094600 1260155 1938700 2016248 2520310 3877400 5040620 6300775 8161927 10081240 12601550 16323854 25203100 32647708 40809635 50406200 65295416 81619270 106105051 163238540 204048175 212210102 326477080 408096350 424420204 530525255 816192700 848840408 1061050510 1632385400 2122101020 2652626275 4244202040 5305252550 10610505100 21221010200