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2220111001100 = 225279913730757
BaseRepresentation
bin100000010011101000111…
…011010111011000001100
321212020111100112020121002
4200103220323113120030
5242333241404013400
64415523243355432
7316253264100236
oct40235073273014
97766440466532
102220111001100
117865a8866853
122ba332822b78
131314812540a5
147964d8ad256
153cb3bce6ed5
hex204e8ed760c

2220111001100 has 72 divisors (see below), whose sum is σ = 4879316245440. Its totient is φ = 876678865920.

The previous prime is 2220111001079. The next prime is 2220111001183. The reversal of 2220111001100 is 11001110222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72166922 + ... + 72197678.

Almost surely, 22220111001100 is an apocalyptic number.

2220111001100 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 2220111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439658122720).

2220111001100 is an abundant number, since it is smaller than the sum of its proper divisors (2659205244340).

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

2220111001100 is a wasteful number, since it uses less digits than its factorization.

2220111001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39987 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2220111001100 its reverse (11001110222), we get a palindrome (2231112111322).

The spelling of 2220111001100 in words is "two trillion, two hundred twenty billion, one hundred eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 9137 18274 30757 36548 45685 61514 91370 123028 153785 182740 228425 307570 456850 615140 721823 768925 913700 1443646 1537850 2429803 2887292 3075700 3609115 4859606 7218230 9719212 12149015 14436460 18045575 24298030 36091150 48596060 60745075 72182300 121490150 242980300 281026709 562053418 1124106836 1405133545 2810267090 5620534180 7025667725 14051335450 22201110011 28102670900 44402220022 88804440044 111005550055 222011100110 444022200220 555027750275 1110055500550 2220111001100