Search a number
-
+
111101012220 = 2235111731378997
BaseRepresentation
bin110011101111000100…
…0101110100011111100
3101121202211011012012110
41213132020232203330
53310013324342340
6123012240134020
711012121010422
oct1473610564374
9347684135173
10111101012220
1143132696970
1219647607310
13a627643523
14553d507112
152d53acd680
hex19de22e8fc

111101012220 has 768 divisors, whose sum is σ = 389193154560. Its totient is φ = 23357030400.

The previous prime is 111101012179. The next prime is 111101012227. The reversal of 111101012220 is 22210101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111101012196 and 111101012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101012227) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1145371212 + ... + 1145371308.

It is an arithmetic number, because the mean of its divisors is an integer number (506761920).

Almost surely, 2111101012220 is an apocalyptic number.

111101012220 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 111101012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194596577280).

111101012220 is an abundant number, since it is smaller than the sum of its proper divisors (278092142340).

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

111101012220 is a wasteful number, since it uses less digits than its factorization.

111101012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111101012220 its reverse (22210101111), we get a palindrome (133311113331).

The spelling of 111101012220 in words is "one hundred eleven billion, one hundred one million, twelve thousand, two hundred twenty".