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212344541200 = 245211101477823
BaseRepresentation
bin1100010111000010111…
…0001001000000010000
3202022002122201100112001
43011300232021000100
511434340200304300
6241314424243344
721225044551021
oct3056056110020
9668078640461
10212344541200
1182066a59770
12351a1910554
131704097831c
14a3c5788c48
1557cc0a116a
hex3170b89010

212344541200 has 120 divisors (see below), whose sum is σ = 562047169536. Its totient is φ = 76451520000.

The previous prime is 212344541183. The next prime is 212344541203. The reversal of 212344541200 is 2145443212.

It is not an unprimeable number, because it can be changed into a prime (212344541203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205489 + ... + 683311.

Almost surely, 2212344541200 is an apocalyptic number.

212344541200 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 212344541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281023584768).

212344541200 is an abundant number, since it is smaller than the sum of its proper divisors (349702628336).

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

212344541200 is a wasteful number, since it uses less digits than its factorization.

212344541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477953 (or 477942 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 212344541200 its reverse (2145443212), we get a palindrome (214489984412).

The spelling of 212344541200 in words is "two hundred twelve billion, three hundred forty-four million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 477823 955646 1911292 2389115 3822584 4778230 5256053 7645168 9556460 10512106 11945575 19112920 21024212 23891150 26280265 38225840 42048424 47782300 48260123 52560530 84096848 95564600 96520246 105121060 131401325 191129200 193040492 210242120 241300615 262802650 386080984 420484240 482601230 525605300 530861353 772161968 965202460 1051210600 1061722706 1206503075 1930404920 2102421200 2123445412 2413006150 2654306765 3860809840 4246890824 4826012300 5308613530 8493781648 9652024600 10617227060 13271533825 19304049200 21234454120 26543067650 42468908240 53086135300 106172270600 212344541200