Search a number
-
+
1113201122220 = 22325113147385877
BaseRepresentation
bin10000001100101111111…
…101010001101110101100
310221102100220022021000100
4100030233331101232230
5121214313441402340
62211221511231100
7143266106262225
oct20145775215654
93842326267010
101113201122220
1139a119015560
1215b8b4978490
1380c88a37cb5
143bc4482824c
151de548ce830
hex1032ff51bac

1113201122220 has 288 divisors, whose sum is σ = 3883426799616. Its totient is φ = 255604262400.

The previous prime is 1113201122207. The next prime is 1113201122279. The reversal of 1113201122220 is 222211023111.

1113201122220 is a `hidden beast` number, since 1 + 1 + 1 + 320 + 1 + 122 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1113201122193 and 1113201122202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2691922 + ... + 3077798.

It is an arithmetic number, because the mean of its divisors is an integer number (13484120832).

Almost surely, 21113201122220 is an apocalyptic number.

1113201122220 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 1113201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941713399808).

1113201122220 is an abundant number, since it is smaller than the sum of its proper divisors (2770225677396).

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

1113201122220 is a wasteful number, since it uses less digits than its factorization.

1113201122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385981 (or 385976 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1113201122220 its reverse (222211023111), we get a palindrome (1335412145331).

The spelling of 1113201122220 in words is "one trillion, one hundred thirteen billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".