Search a number
-
+
213321112002300 = 223526311126894411
BaseRepresentation
bin110000100000001110110001…
…000110101001111011111100
31000222022022002002000110020010
4300200032301012221323330
5210430023114133033200
62033410211014423220
762634641006140641
oct6040166106517374
91028268062013203
10213321112002300
1161a74a80501125
121bb13088961b10
13920512c944543
143a96b22a17dc8
15199de895a8150
hexc203b11a9efc

213321112002300 has 72 divisors (see below), whose sum is σ = 618187228957312. Its totient is φ = 56795478264000.

The previous prime is 213321112002293. The next prime is 213321112002331. The reversal of 213321112002300 is 3200211123312.

It is a super-2 number, since 2×2133211120023002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563257906 + ... + 563636505.

Almost surely, 2213321112002300 is an apocalyptic number.

213321112002300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213321112002300 is an abundant number, since it is smaller than the sum of its proper divisors (404866116955012).

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

213321112002300 is a wasteful number, since it uses less digits than its factorization.

213321112002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126895059 (or 1126895052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213321112002300 its reverse (3200211123312), we get a palindrome (216521323125612).

The spelling of 213321112002300 in words is "two hundred thirteen trillion, three hundred twenty-one billion, one hundred twelve million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 631 1262 1893 2524 3155 3786 6310 7572 9465 12620 15775 18930 31550 37860 47325 63100 94650 189300 1126894411 2253788822 3380683233 4507577644 5634472055 6761366466 11268944110 13522732932 16903416165 22537888220 28172360275 33806832330 56344720550 67613664660 84517080825 112689441100 169034161650 338068323300 711070373341 1422140746682 2133211120023 2844281493364 3555351866705 4266422240046 7110703733410 8532844480092 10666055600115 14221407466820 17776759333525 21332111200230 35553518667050 42664222400460 53330278000575 71107037334100 106660556001150 213321112002300