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213442400000010 = 235131334316246199
BaseRepresentation
bin110000100001111111101110…
…011011101001100000001010
31000222201220010211210010102110
4300201333232123221200022
5210434020013400000020
62033542030201243150
762646463435124466
oct6041775633514012
91028656124703373
10213442400000010
1162011460405a65
121bb32697a934b6
1392136bb92381c
143a9c94b0394a6
1519a21d767c8e0
hexc21fee6e980a

213442400000010 has 64 divisors (see below), whose sum is σ = 516326590771200. Its totient is φ = 56466585464640.

The previous prime is 213442399999979. The next prime is 213442400000069. The reversal of 213442400000010 is 10000004244312.

213442400000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5014891 + ... + 21261089.

It is an arithmetic number, because the mean of its divisors is an integer number (8067602980800).

Almost surely, 2213442400000010 is an apocalyptic number.

213442400000010 is an abundant number, since it is smaller than the sum of its proper divisors (302884190771190).

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

213442400000010 is a wasteful number, since it uses less digits than its factorization.

213442400000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249683.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 213442400000010 its reverse (10000004244312), we get a palindrome (223442404244322).

The spelling of 213442400000010 in words is "two hundred thirteen trillion, four hundred forty-two billion, four hundred million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 131 262 393 655 786 1310 1965 3343 3930 6686 10029 16715 20058 33430 50145 100290 437933 875866 1313799 2189665 2627598 4379330 6568995 13137990 16246199 32492398 48738597 81230995 97477194 162461990 243692985 487385970 2128252069 4256504138 6384756207 10641260345 12769512414 21282520690 31923781035 54311043257 63847562070 108622086514 162933129771 271555216285 325866259542 543110432570 814665648855 1629331297710 7114746666667 14229493333334 21344240000001 35573733333335 42688480000002 71147466666670 106721200000005 213442400000010