Search a number
-
+
11220021120220 = 225111937109665563
BaseRepresentation
bin1010001101000101110101…
…0111111000110011011100
31110201121211120012122112221
42203101131113320303130
52432312100401321340
635510223451435124
72235422403640243
oct243213527706334
943647746178487
1011220021120220
113636425465060
121312622455aa4
13635074604113
142ab0a267995a
15146cd266c44a
hexa345d5f8cdc

11220021120220 has 192 divisors, whose sum is σ = 28043139801600. Its totient is φ = 3726295280640.

The previous prime is 11220021120211. The next prime is 11220021120223. The reversal of 11220021120220 is 2202112002211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11220021120194 and 11220021120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220021120223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16525159 + ... + 17190721.

It is an arithmetic number, because the mean of its divisors is an integer number (146058019800).

Almost surely, 211220021120220 is an apocalyptic number.

11220021120220 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 11220021120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021569900800).

11220021120220 is an abundant number, since it is smaller than the sum of its proper divisors (16823118681380).

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

11220021120220 is a wasteful number, since it uses less digits than its factorization.

11220021120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665748 (or 665746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220021120220 its reverse (2202112002211), we get a palindrome (13422133122431).

The spelling of 11220021120220 in words is "eleven trillion, two hundred twenty billion, twenty-one million, one hundred twenty thousand, two hundred twenty".