Search a number
-
+
11110220222220 = 223457231131732179
BaseRepresentation
bin1010000110101100110010…
…1110101100111100001100
31110100010102100110002210000
42201223030232230330030
52424012212334102340
635343544213244300
72224454420464140
oct241531456547414
943303370402700
1011110220222220
1135a38aa744259
1212b529a333690
136278c6438862
142a5a47ac3220
15144007ca2d30
hexa1accbacf0c

11110220222220 has 960 divisors, whose sum is σ = 42193590405120. Its totient is φ = 2392555511808.

The previous prime is 11110220222219. The next prime is 11110220222239. The reversal of 11110220222220 is 2222202201111.

It is a happy number.

11110220222220 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 220 + 222 + 220 = 666.

11110220222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11110220222193 and 11110220222202.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5098769091 + ... + 5098771269.

It is an arithmetic number, because the mean of its divisors is an integer number (43951656672).

Almost surely, 211110220222220 is an apocalyptic number.

11110220222220 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 11110220222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096795202560).

11110220222220 is an abundant number, since it is smaller than the sum of its proper divisors (31083370182900).

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

11110220222220 is a wasteful number, since it uses less digits than its factorization.

11110220222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11110220222220 its reverse (2222202201111), we get a palindrome (13332422423331).

The spelling of 11110220222220 in words is "eleven trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".