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243140431112200 = 23529713007963559
BaseRepresentation
bin110111010010001010001011…
…000001101110100000001000
31011212212222221200201222211201
4313102022023001232200020
5223332103100331042300
62221041101055233544
7102133213354366546
oct6722121301564010
91155788850658751
10243140431112200
1170521306783206
122332a2b25188b4
13a5890763610ab
1444080b99a6d96
151d19991ecd66a
hexdd228b06e808

243140431112200 has 96 divisors (see below), whose sum is σ = 571173855033600. Its totient is φ = 96246031472640.

The previous prime is 243140431112191. The next prime is 243140431112219. The reversal of 243140431112200 is 2211134041342.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251854021 + ... + 252817579.

It is an arithmetic number, because the mean of its divisors is an integer number (5949727656600).

Almost surely, 2243140431112200 is an apocalyptic number.

243140431112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243140431112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285586927516800).

243140431112200 is an abundant number, since it is smaller than the sum of its proper divisors (328033423921400).

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

243140431112200 is a wasteful number, since it uses less digits than its factorization.

243140431112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976679 (or 976670 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 243140431112200 its reverse (2211134041342), we get a palindrome (245351565153542).

The spelling of 243140431112200 in words is "two hundred forty-three trillion, one hundred forty billion, four hundred thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 13007 19400 26014 52028 65035 104056 130070 260140 325175 520280 650350 963559 1261679 1300700 1927118 2523358 2601400 3854236 4817795 5046716 6308395 7708472 9635590 10093432 12616790 19271180 24088975 25233580 31541975 38542360 48177950 50467160 63083950 93465223 96355900 126167900 186930446 192711800 252335800 373860892 467326115 747721784 934652230 1869304460 2336630575 3738608920 4673261150 9346522300 12533011913 18693044600 25066023826 50132047652 62665059565 100264095304 125330119130 250660238260 313325297825 501320476520 626650595650 1215702155561 1253301191300 2431404311122 2506602382600 4862808622244 6078510777805 9725617244488 12157021555610 24314043111220 30392553889025 48628086222440 60785107778050 121570215556100 243140431112200