Search a number
-
+
201111111301220 = 225171003335895401
BaseRepresentation
bin101101101110100011010100…
…010110010111100001100100
3222101002000221010120102002222
4231232203110112113201210
5202330001023443114340
61551421100304451512
760234540550456331
oct5556432426274144
9871060833512088
10201111111301220
115909781a41240a
121a680820319b98
13882a9090611b3
143793b88a91988
15183b5652678b5
hexb6e8d4597864

201111111301220 has 48 divisors (see below), whose sum is σ = 447181003786608. Its totient is φ = 75711650918400.

The previous prime is 201111111301213. The next prime is 201111111301223. The reversal of 201111111301220 is 22103111111102.

201111111301220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2848716098596 + 198262395202624 = 1687814^2 + 14080568^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (201111111301223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31165520 + ... + 37060920.

It is an arithmetic number, because the mean of its divisors is an integer number (9316270912221).

Almost surely, 2201111111301220 is an apocalyptic number.

201111111301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111111301220 is an abundant number, since it is smaller than the sum of its proper divisors (246069892485388).

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

201111111301220 is a wasteful number, since it uses less digits than its factorization.

201111111301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995760 (or 5995758 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 201111111301220 its reverse (22103111111102), we get a palindrome (223214222412322).

The spelling of 201111111301220 in words is "two hundred one trillion, one hundred eleven billion, one hundred eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 100333 200666 401332 501665 1003330 1705661 2006660 3411322 5895401 6822644 8528305 11790802 17056610 23581604 29477005 34113220 58954010 100221817 117908020 200443634 400887268 501109085 1002218170 2004436340 591503268533 1183006537066 2366013074132 2957516342665 5915032685330 10055555565061 11830065370660 20111111130122 40222222260244 50277777825305 100555555650610 201111111301220