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11122100220 = 22357115994019
BaseRepresentation
bin10100101101110110…
…11100011111111100
31001201010012020020210
422112323130133330
5140234224201340
65035345112420
7542421202110
oct122673343774
931633166223
1011122100220
114798154570
1221a4928710
1310833084ba
147771b5740
1545165c180
hex296edc7fc

11122100220 has 192 divisors, whose sum is σ = 38900736000. Its totient is φ = 2306653440.

The previous prime is 11122100189. The next prime is 11122100233. The reversal of 11122100220 is 2200122111.

It is a super-2 number, since 2×111221002202 (a number of 21 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 = 11122100196 and 11122100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765371 + ... + 2769389.

It is an arithmetic number, because the mean of its divisors is an integer number (202608000).

Almost surely, 211122100220 is an apocalyptic number.

11122100220 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 11122100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450368000).

11122100220 is an abundant number, since it is smaller than the sum of its proper divisors (27778635780).

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

11122100220 is a wasteful number, since it uses less digits than its factorization.

11122100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122100220 its reverse (2200122111), we get a palindrome (13322222331).

The spelling of 11122100220 in words is "eleven billion, one hundred twenty-two million, one hundred thousand, two hundred twenty".