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11220110101020 = 223519101186152363
BaseRepresentation
bin1010001101000110001010…
…1011010100101000011100
31110201122001202122100021010
42203101202223110220130
52432312241141213040
635510240350535220
72235424534156422
oct243214253245034
943648052570233
1011220110101020
11363647070a707
121312648207510
13635089b8a192
142ab0b03dd112
15146cda396e80
hexa3462ad4a1c

11220110101020 has 192 divisors, whose sum is σ = 33415805928960. Its totient is φ = 2804927616000.

The previous prime is 11220110100967. The next prime is 11220110101037. The reversal of 11220110101020 is 2010101102211.

It is a super-2 number, since 2×112201101010202 (a number of 27 digits) contains 22 as substring.

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 = 11220110100987 and 11220110101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214249359 + ... + 214301721.

It is an arithmetic number, because the mean of its divisors is an integer number (174040655880).

Almost surely, 211220110101020 is an apocalyptic number.

11220110101020 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 11220110101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707902964480).

11220110101020 is an abundant number, since it is smaller than the sum of its proper divisors (22195695827940).

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

11220110101020 is a wasteful number, since it uses less digits than its factorization.

11220110101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54356 (or 54354 counting only the distinct ones).

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

Adding to 11220110101020 its reverse (2010101102211), we get a palindrome (13230211203231).

The spelling of 11220110101020 in words is "eleven trillion, two hundred twenty billion, one hundred ten million, one hundred one thousand, twenty".