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21242300324212 = 221129431492598341
BaseRepresentation
bin1001101010001110110111…
…10000111101100101110100
32210012202002102200201201201
410311013123300331211310
510241013212340333322
6113102324505302244
74321464001400212
oct465073360754564
983182072621651
1021242300324212
11684a899824860
122470a97494984
13bb11a93aa886
145361c0667cb2
1526c863490d27
hex1351dbc3d974

21242300324212 has 96 divisors (see below), whose sum is σ = 43215624144000. Its totient is φ = 9044717606400.

The previous prime is 21242300324207. The next prime is 21242300324227.

21242300324212 is nontrivially palindromic in base 10.

It is a congruent number.

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, 6876162 + ... + 9474502.

It is an arithmetic number, because the mean of its divisors is an integer number (450162751500).

Almost surely, 221242300324212 is an apocalyptic number.

21242300324212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21242300324212 is an abundant number, since it is smaller than the sum of its proper divisors (21973323819788).

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

21242300324212 is a wasteful number, since it uses less digits than its factorization.

21242300324212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598577 (or 2598575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 21242300 and 324212, that added together give a palindrome (21566512).

The spelling of 21242300324212 in words is "twenty-one trillion, two hundred forty-two billion, three hundred million, three hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 4 11 22 29 43 44 58 86 116 149 172 298 319 473 596 638 946 1247 1276 1639 1892 2494 3278 4321 4988 6407 6556 8642 12814 13717 17284 25628 27434 47531 54868 70477 95062 140954 185803 190124 281908 371606 743212 2043833 2598341 4087666 5196682 8175332 10393364 28581751 57163502 75351889 111728663 114327004 150703778 223457326 301407556 387152809 446914652 774305618 828870779 1229015293 1548611236 1657741558 2458030586 3240131227 3315483116 4258680899 4916061172 6480262454 8517361798 11227431461 12960524908 16647570787 17034723596 22454862922 33295141574 35641443497 44909725844 66590283148 71282886994 123501746071 142565773988 183123278657 247003492142 366246557314 482779552823 494006984284 732493114628 965559105646 1931118211292 5310575081053 10621150162106 21242300324212