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211012211200 = 295272355047
BaseRepresentation
bin1100010010000101001…
…1101101001000000000
3202011122210200222100111
43010201103231020000
511424123111224300
6240534312001104
721150036126010
oct3044123551000
9664583628314
10211012211200
118154298a49a
1234a8b690194
1316b8a93098b
14a2da84dc40
1557501269ba
hex31214ed200

211012211200 has 120 divisors (see below), whose sum is σ = 597485097792. Its totient is φ = 72347013120.

The previous prime is 211012211117. The next prime is 211012211219. The reversal of 211012211200 is 2112210112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1087924 + ... + 1267123.

Almost surely, 2211012211200 is an apocalyptic number.

211012211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012211200 is an abundant number, since it is smaller than the sum of its proper divisors (386472886592).

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

211012211200 is an equidigital number, since it uses as much as digits as its factorization.

211012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355082 (or 2355061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211012211200 its reverse (2112210112), we get a palindrome (213124421312).

The spelling of 211012211200 in words is "two hundred eleven billion, twelve million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 2355047 4710094 9420188 11775235 16485329 18840376 23550470 32970658 37680752 47100940 58876175 65941316 75361504 82426645 94201880 117752350 131882632 150723008 164853290 188403760 235504700 263765264 301446016 329706580 376807520 412133225 471009400 527530528 602892032 659413160 753615040 824266450 942018800 1055061056 1205784064 1318826320 1507230080 1648532900 1884037600 2110122112 2637652640 3014460160 3297065800 3768075200 4220244224 5275305280 6028920320 6594131600 7536150400 8440488448 10550610560 13188263200 15072300800 21101221120 26376526400 30144601600 42202442240 52753052800 105506105600 211012211200