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213313110012 = 223323226937847
BaseRepresentation
bin1100011010101001110…
…0111011111111111100
3202101121011020202011000
43012222130323333330
511443331124010022
6241554504130300
721261045342552
oct3065234737774
9671534222130
10213313110012
1182513764862
1235412166990
131716652bc72
14a478273bd2
1558371246ac
hex31aa73bffc

213313110012 has 96 divisors (see below), whose sum is σ = 577348531200. Its totient is φ = 67981104576.

The previous prime is 213313109963. The next prime is 213313110097. The reversal of 213313110012 is 210011313312.

213313110012 is a `hidden beast` number, since 21 + 331 + 311 + 0 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×2133131100122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5617273 + ... + 5655119.

It is an arithmetic number, because the mean of its divisors is an integer number (6014047200).

Almost surely, 2213313110012 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 213313110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288674265600).

213313110012 is an abundant number, since it is smaller than the sum of its proper divisors (364035421188).

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

213313110012 is a wasteful number, since it uses less digits than its factorization.

213313110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40152 (or 40144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213313110012 its reverse (210011313312), we get a palindrome (423324423324).

The spelling of 213313110012 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2269 2484 4538 6807 9076 13614 20421 27228 37847 40842 52187 61263 75694 81684 104374 113541 122526 151388 156561 208748 227082 245052 313122 340623 454164 469683 626244 681246 870481 939366 1021869 1362492 1409049 1740962 1878732 2043738 2611443 2818098 3481924 4087476 5222886 5636196 7834329 10445772 15668658 23502987 31337316 47005974 85874843 94011948 171749686 257624529 343499372 515249058 772873587 1030498116 1545747174 1975121389 2318620761 3091494348 3950242778 4637241522 5925364167 7900485556 9274483044 11850728334 17776092501 23701456668 35552185002 53328277503 71104370004 106656555006 213313110012