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213012223003300 = 225271743940774913
BaseRepresentation
bin110000011011101111000101…
…111000101000101010100100
31000221012202210001212111012211
4300123233011320220222210
5210404443013042101200
62033012244143253204
762603424314025310
oct6033570570505244
91027182701774184
10213012223003300
1161965a81739366
121ba832425aa204
1391b1c7435b516
143a85bbd116b40
151995e0b846aba
hexc1bbc5e28aa4

213012223003300 has 144 divisors (see below), whose sum is σ = 560619185575680. Its totient is φ = 68580139991040.

The previous prime is 213012223003297. The next prime is 213012223003301. The reversal of 213012223003300 is 3300322210312.

It is not an unprimeable number, because it can be changed into a prime (213012223003301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15163357 + ... + 25611556.

It is an arithmetic number, because the mean of its divisors is an integer number (3893188788720).

Almost surely, 2213012223003300 is an apocalyptic number.

213012223003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012223003300 is an abundant number, since it is smaller than the sum of its proper divisors (347606962572380).

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

213012223003300 is a wasteful number, since it uses less digits than its factorization.

213012223003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40775390 (or 40775383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213012223003300 its reverse (3300322210312), we get a palindrome (216312545213612).

The spelling of 213012223003300 in words is "two hundred thirteen trillion, twelve billion, two hundred twenty-three million, three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 439 476 595 700 850 878 1190 1700 1756 2195 2380 2975 3073 4390 5950 6146 7463 8780 10975 11900 12292 14926 15365 21950 29852 30730 37315 43900 52241 61460 74630 76825 104482 149260 153650 186575 208964 261205 307300 373150 522410 746300 1044820 1306025 2612050 5224100 40774913 81549826 163099652 203874565 285424391 407749130 570848782 693173521 815498260 1019372825 1141697564 1386347042 1427121955 2038745650 2772694084 2854243910 3465867605 4077491300 4852214647 5708487820 6931735210 7135609775 9704429294 13863470420 14271219550 17329338025 17900186807 19408858588 24261073235 28542439100 34658676050 35800373614 48522146470 69317352100 71600747228 89500934035 97044292940 121305366175 125301307649 179001868070 242610732350 250602615298 304303175719 358003736140 447504670175 485221464700 501205230596 608606351438 626506538245 895009340350 1217212702876 1253013076490 1521515878595 1790018680700 2130122230033 2506026152980 3043031757190 3132532691225 4260244460066 6086063514380 6265065382450 7607579392975 8520488920132 10650611150165 12530130764900 15215158785950 21301222300330 30430317571900 42602444600660 53253055750825 106506111501650 213012223003300