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213312442442010 = 235107351711889411
BaseRepresentation
bin110000100000000110101100…
…010110111010000100011010
31000222021110200212201011021120
4300200012230112322010122
5210424402340231121020
62033402214435550110
762634213115115652
oct6040065426720432
91028243625634246
10213312442442010
1161a7133179516a
121bb1146945b336
13920437a78c202
143a9653d45b362
15199db2d3ee740
hexc201ac5ba11a

213312442442010 has 64 divisors (see below), whose sum is σ = 516749405566464. Its totient is φ = 56350066145600.

The previous prime is 213312442441957. The next prime is 213312442442027. The reversal of 213312442442010 is 10244244213312.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 111954205 + ... + 113843615.

It is an arithmetic number, because the mean of its divisors is an integer number (8074209461976).

Almost surely, 2213312442442010 is an apocalyptic number.

213312442442010 is an abundant number, since it is smaller than the sum of its proper divisors (303436963124454).

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

213312442442010 is a wasteful number, since it uses less digits than its factorization.

213312442442010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924699.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 213312442442010 its reverse (10244244213312), we get a palindrome (223556686655322).

The spelling of 213312442442010 in words is "two hundred thirteen trillion, three hundred twelve billion, four hundred forty-two million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 535 642 1070 1605 3210 35171 70342 105513 175855 211026 351710 527565 1055130 1889411 3763297 3778822 5668233 7526594 9447055 11289891 11336466 18816485 18894110 22579782 28341165 37632970 56449455 56682330 112898910 202166977 404333954 606500931 1010834885 1213001862 2021669770 3032504655 6065009310 66452474281 132904948562 199357422843 332262371405 398714845686 664524742810 996787114215 1993574228430 7110414748067 14220829496134 21331244244201 35552073740335 42662488488402 71104147480670 106656221221005 213312442442010