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21010212200 = 2352418928789
BaseRepresentation
bin10011100100010011…
…100110010101101000
32000020020102100212102
4103210103212111220
5321012103242300
613352453432532
71342436566655
oct234423462550
960206370772
1021010212200
118a0179843a
1240a433b748
131c9aa7c133
141034530c2c
1582e7b80d5
hex4e44e6568

21010212200 has 96 divisors (see below), whose sum is σ = 50604183000. Its totient is φ = 8106700800.

The previous prime is 21010212199. The next prime is 21010212257. The reversal of 21010212200 is 221201012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6666724 + 21003545476 = 2582^2 + 144926^2 .

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, 715406 + ... + 744194.

Almost surely, 221010212200 is an apocalyptic number.

21010212200 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 21010212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25302091500).

21010212200 is an abundant number, since it is smaller than the sum of its proper divisors (29593970800).

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

21010212200 is a wasteful number, since it uses less digits than its factorization.

21010212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28935 (or 28926 counting only the distinct ones).

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

Adding to 21010212200 its reverse (221201012), we get a palindrome (21231413212).

The spelling of 21010212200 in words is "twenty-one billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 89 100 164 178 200 205 328 356 410 445 712 820 890 1025 1640 1780 2050 2225 3560 3649 4100 4450 7298 8200 8900 14596 17800 18245 28789 29192 36490 57578 72980 91225 115156 143945 145960 182450 230312 287890 364900 575780 719725 729800 1151560 1180349 1439450 2360698 2562221 2878900 4721396 5124442 5757800 5901745 9442792 10248884 11803490 12811105 20497768 23606980 25622210 29508725 47213960 51244420 59017450 64055525 102488840 105051061 118034900 128111050 210102122 236069800 256222100 420204244 512444200 525255305 840408488 1050510610 2101021220 2626276525 4202042440 5252553050 10505106100 21010212200