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21000002102212 = 2273164187743037
BaseRepresentation
bin1001100011001011100011…
…01010100110001111000100
32202100120200020211201211111
410301211301222212033010
510223031001014232322
6112355133501414404
74265125425444550
oct461456152461704
982316606751744
1021000002102212
1167670617993a1
122431b3626a404
13b943a3b37393
14528596a90860
152663d18b5177
hex131971aa63c4

21000002102212 has 96 divisors (see below), whose sum is σ = 43473001936896. Its totient is φ = 8685973094400.

The previous prime is 21000002102207. The next prime is 21000002102231. The reversal of 21000002102212 is 21220120000012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21000002102192 and 21000002102201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487930758 + ... + 487973794.

It is an arithmetic number, because the mean of its divisors is an integer number (452843770176).

Almost surely, 221000002102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000002102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21736500968448).

21000002102212 is an abundant number, since it is smaller than the sum of its proper divisors (22472999834684).

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

21000002102212 is a wasteful number, since it uses less digits than its factorization.

21000002102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44597 (or 44595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21000002102212 its reverse (21220120000012), we get a palindrome (42220122102224).

The spelling of 21000002102212 in words is "twenty-one trillion, two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 641 868 877 1282 1754 2564 3508 4487 6139 8974 12278 17948 19871 24556 27187 39742 43037 54374 79484 86074 108748 139097 172148 190309 278194 301259 380618 556388 562157 602518 761236 1124314 1205036 1334147 2248628 2668294 3935099 5336588 7870198 9339029 15740396 17426867 18678058 27586717 34853734 37356116 37743449 55173434 69707468 75486898 110346868 121988069 150973796 193107019 243976138 264204143 386214038 487952276 528408286 772428076 855188227 1056816572 1170046919 1710376454 2340093838 3420752908 4680187676 5986317589 8190328433 11972635178 16380656866 23945270356 24193550809 32761313732 48387101618 96774203236 169354855663 338709711326 677419422652 750000075079 1500000150158 3000000300316 5250000525553 10500001051106 21000002102212