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213133113300 = 2235223291065133
BaseRepresentation
bin1100011001111110111…
…0010011011111010100
3202101010121112222002010
43012133232103133110
511442444034111200
6241524554144220
721253431400032
oct3063756233724
9671117488063
10213133113300
11824310a4648
1235381a22070
1317138159733
14a45c3bb552
15582641c150
hex319fb937d4

213133113300 has 144 divisors (see below), whose sum is σ = 665666144640. Its totient is φ = 52489704960.

The previous prime is 213133113299. The next prime is 213133113307. The reversal of 213133113300 is 3311331312.

213133113300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213133113307) 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, 332467 + ... + 732666.

It is an arithmetic number, because the mean of its divisors is an integer number (4622681560).

Almost surely, 2213133113300 is an apocalyptic number.

213133113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133113300 is an abundant number, since it is smaller than the sum of its proper divisors (452533031340).

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

213133113300 is a wasteful number, since it uses less digits than its factorization.

213133113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065202 (or 1065195 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 213133113300 its reverse (3311331312), we get a palindrome (216444444612).

The spelling of 213133113300 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 667 690 725 870 1150 1334 1380 1450 1725 1740 2001 2175 2300 2668 2900 3335 3450 4002 4350 6670 6900 8004 8700 10005 13340 16675 20010 33350 40020 50025 66700 100050 200100 1065133 2130266 3195399 4260532 5325665 6390798 10651330 12781596 15976995 21302660 24498059 26628325 30888857 31953990 48996118 53256650 61777714 63907980 73494177 79884975 92666571 97992236 106513300 122490295 123555428 146988354 154444285 159769950 185333142 244980590 293976708 308888570 319539900 367470885 370666284 463332855 489961180 612451475 617777140 710443711 734941770 772221425 926665710 1224902950 1420887422 1469883540 1544442850 1837354425 1853331420 2131331133 2316664275 2449805900 2841774844 3088885700 3552218555 3674708850 4262662266 4633328550 7104437110 7349417700 8525324532 9266657100 10656655665 14208874220 17761092775 21313311330 35522185550 42626622660 53283278325 71044371100 106566556650 213133113300