Search a number
-
+
211012222222200 = 23352750241005291
BaseRepresentation
bin101111111110101000011100…
…100011000111111101111000
31000200010120102120112221210010
4233332220130203013331320
5210124211012342102300
62024441402053421520
762306062401625050
oct5776503443077570
91020116376487703
10211012222222200
1161264865404743
121b7bb6ba33a8a0
1390984a08b2779
143a17090502560
15195dda3762a50
hexbfea1c8c7f78

211012222222200 has 96 divisors (see below), whose sum is σ = 747586158744960. Its totient is φ = 48231365078400.

The previous prime is 211012222222199. The next prime is 211012222222211. The reversal of 211012222222200 is 2222222210112.

It is a super-2 number, since 2×2110122222222002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25120498446 + ... + 25120506845.

It is an arithmetic number, because the mean of its divisors is an integer number (7787355820260).

Almost surely, 2211012222222200 is an apocalyptic number.

211012222222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012222222200 is an abundant number, since it is smaller than the sum of its proper divisors (536573936522760).

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

211012222222200 is a wasteful number, since it uses less digits than its factorization.

211012222222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50241005317 (or 50241005308 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211012222222200 its reverse (2222222210112), we get a palindrome (213234444432312).

The spelling of 211012222222200 in words is "two hundred eleven trillion, twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 50241005291 100482010582 150723015873 200964021164 251205026455 301446031746 351687037037 401928042328 502410052910 602892063492 703374074074 753615079365 1004820105820 1055061111111 1205784126984 1256025132275 1406748148148 1507230158730 1758435185185 2009640211640 2110122222222 2512050264550 2813496296296 3014460317460 3516870370370 3768075396825 4220244444444 5024100529100 5275305555555 6028920634920 7033740740740 7536150793650 8440488888888 8792175925925 10048201058200 10550611111110 14067481481480 15072301587300 17584351851850 21101222222220 26376527777775 30144603174600 35168703703700 42202444444440 52753055555550 70337407407400 105506111111100 211012222222200