Search a number
-
+
1220111120 = 245109139921
BaseRepresentation
bin100100010111001…
…0110101100010000
310011000212001210202
41020232112230100
54444322023440
6321023114332
742143526164
oct11056265420
93130761722
101220111120
115767a25a8
122a07429a8
13165a16357
14b8086ca4
15721ae615
hex48b96b10

1220111120 has 40 divisors (see below), whose sum is σ = 2862804120. Its totient is φ = 483563520.

The previous prime is 1220111119. The next prime is 1220111141. The reversal of 1220111120 is 211110221.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 1218847744 = 1124^2 + 34912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12201111202 = 2977342290295308800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 61241 + ... + 78680.

It is an arithmetic number, because the mean of its divisors is an integer number (71570103).

Almost surely, 21220111120 is an apocalyptic number.

1220111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220111120 is an abundant number, since it is smaller than the sum of its proper divisors (1642693000).

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

1220111120 is a wasteful number, since it uses less digits than its factorization.

1220111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140043 (or 140037 counting only the distinct ones).

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

The square root of 1220111120 is about 34930.0890350998. The cubic root of 1220111120 is about 1068.5621704273.

Adding to 1220111120 its reverse (211110221), we get a palindrome (1431221341).

The spelling of 1220111120 in words is "one billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 139921 279842 559684 699605 1119368 1399210 2238736 2798420 5596840 11193680 15251389 30502778 61005556 76256945 122011112 152513890 244022224 305027780 610055560 1220111120