Search a number
-
+
111111001220 = 22541617219613
BaseRepresentation
bin110011101111010111…
…0110101010010000100
3101121210111221200112102
41213132232311102010
53310023404014340
6123013234211232
711012301633032
oct1473656652204
9347714850472
10111111001220
114313829983a
121964aa23b18
13a62973008b
145540987552
152d54903215
hex19debb5484

111111001220 has 48 divisors (see below), whose sum is σ = 239412641328. Its totient is φ = 43289917440.

The previous prime is 111111001217. The next prime is 111111001249. The reversal of 111111001220 is 22100111111.

It can be written as a sum of positive squares in 8 ways, for example, as 68165899396 + 42945101824 = 261086^2 + 207232^2 .

It is a super-2 number, since 2×1111110012202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396134 + ... + 615746.

It is an arithmetic number, because the mean of its divisors is an integer number (4987763361).

Almost surely, 2111111001220 is an apocalyptic number.

111111001220 is a gapful number since it is divisible by the number (10) 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 111111001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119706320664).

111111001220 is an abundant number, since it is smaller than the sum of its proper divisors (128301640108).

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

111111001220 is a wasteful number, since it uses less digits than its factorization.

111111001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220280 (or 220278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111111001220 its reverse (22100111111), we get a palindrome (133211112331).

The spelling of 111111001220 in words is "one hundred eleven billion, one hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 617 820 1234 2468 3085 6170 12340 25297 50594 101188 126485 219613 252970 439226 505940 878452 1098065 2196130 4392260 9004133 18008266 36016532 45020665 90041330 135501221 180082660 271002442 542004884 677506105 1355012210 2710024420 5555550061 11111100122 22222200244 27777750305 55555500610 111111001220