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213223101301200 = 24352382346478137
BaseRepresentation
bin110000011110110011011111…
…001101100000000111010000
31000221221221002112120222001110
4300132303133031200013100
5210421421402413114300
62033253201313133320
762624601136004454
oct6036633715400720
91027857075528043
10213223101301200
1161a37455a73801
121bab809525a240
1391c8b10303453
143a920a5c68664
15199b64ed1a550
hexc1ecdf3601d0

213223101301200 has 120 divisors (see below), whose sum is σ = 683203344492928. Its totient is φ = 56844619453440.

The previous prime is 213223101301187. The next prime is 213223101301207. The reversal of 213223101301200 is 2103101322312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223101301207) 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 23 ways as a sum of consecutive naturals, for example, 18651469 + ... + 27826668.

Almost surely, 2213223101301200 is an apocalyptic number.

213223101301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223101301200 is an abundant number, since it is smaller than the sum of its proper divisors (469980243191728).

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

213223101301200 is a wasteful number, since it uses less digits than its factorization.

213223101301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46481981 (or 46481970 counting only the distinct ones).

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

Adding to 213223101301200 its reverse (2103101322312), we get a palindrome (215326202623512).

The spelling of 213223101301200 in words is "two hundred thirteen trillion, two hundred twenty-three billion, one hundred one million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3823 7646 11469 15292 19115 22938 30584 38230 45876 57345 61168 76460 91752 95575 114690 152920 183504 191150 229380 286725 305840 382300 458760 573450 764600 917520 1146900 1529200 2293800 4587600 46478137 92956274 139434411 185912548 232390685 278868822 371825096 464781370 557737644 697172055 743650192 929562740 1115475288 1161953425 1394344110 1859125480 2230950576 2323906850 2788688220 3485860275 3718250960 4647813700 5577376440 6971720550 9295627400 11154752880 13943441100 18591254800 27886882200 55773764400 177685917751 355371835502 533057753253 710743671004 888429588755 1066115506506 1421487342008 1776859177510 2132231013012 2665288766265 2842974684016 3553718355020 4264462026024 4442147943775 5330577532530 7107436710040 8528924052048 8884295887550 10661155065060 13326443831325 14214873420080 17768591775100 21322310130120 26652887662650 35537183550200 42644620260240 53305775325300 71074367100400 106611550650600 213223101301200