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211222100020200 = 23352487722868241
BaseRepresentation
bin110000000001101011111010…
…001111011000101111101000
31000200212122011022122202202220
4300001223322033120233220
5210141130330101121300
62025122032043154040
762330202354522003
oct6001537217305750
91020778138582686
10211222100020200
1161335875a04765
121b834311b15920
1390b220a4a3b19
143a232c041653a
151964588ea6da0
hexc01afa3d8be8

211222100020200 has 96 divisors (see below), whose sum is σ = 656133045898560. Its totient is φ = 56210234342400.

The previous prime is 211222100020199. The next prime is 211222100020247. The reversal of 211222100020200 is 2020001222112.

211222100020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221000202002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211222100020200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361141921 + ... + 361726320.

It is an arithmetic number, because the mean of its divisors is an integer number (6834719228110).

Almost surely, 2211222100020200 is an apocalyptic number.

211222100020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222100020200 is an abundant number, since it is smaller than the sum of its proper divisors (444910945878360).

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

211222100020200 is a wasteful number, since it uses less digits than its factorization.

211222100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722868747 (or 722868738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211222100020200 its reverse (2020001222112), we get a palindrome (213242101242312).

The spelling of 211222100020200 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 487 600 974 1461 1948 2435 2922 3896 4870 5844 7305 9740 11688 12175 14610 19480 24350 29220 36525 48700 58440 73050 97400 146100 292200 722868241 1445736482 2168604723 2891472964 3614341205 4337209446 5782945928 7228682410 8674418892 10843023615 14457364820 17348837784 18071706025 21686047230 28914729640 36143412050 43372094460 54215118075 72286824100 86744188920 108430236150 144573648200 216860472300 352036833367 433720944600 704073666734 1056110500101 1408147333468 1760184166835 2112221000202 2816294666936 3520368333670 4224442000404 5280552500505 7040736667340 8448884000808 8800920834175 10561105001010 14081473334680 17601841668350 21122210002020 26402762502525 35203683336700 42244420004040 52805525005050 70407366673400 105611050010100 211222100020200