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11122233444 = 2231072312
BaseRepresentation
bin10100101101110111…
…11101000001100100
31001201010110000000000
422112323331001210
5140234242432234
65035352021300
7542422265400
oct122673750144
931633400000
1011122233444
114798235673
1221a4991830
13108335402a
1477720c100
15451686899
hex296efd064

11122233444 has 297 divisors, whose sum is σ = 35093242611. Its totient is φ = 3075271920.

The previous prime is 11122233403. The next prime is 11122233481. The reversal of 11122233444 is 44433222111.

The square root of 11122233444 is 105462.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×111222334442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 358781709 + ... + 358781739.

Almost surely, 211122233444 is an apocalyptic number.

11122233444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11122233444 is the 105462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122233444

11122233444 is an abundant number, since it is smaller than the sum of its proper divisors (23971009167).

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

11122233444 is an frugal number, since it uses more digits than its factorization.

11122233444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 43 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11122233444 its reverse (44433222111), we get a palindrome (55555455555).

The spelling of 11122233444 in words is "eleven billion, one hundred twenty-two million, two hundred thirty-three thousand, four hundred forty-four".