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11222111000100 = 2235271113371009991
BaseRepresentation
bin1010001101001101100111…
…1100001001011000100100
31110201211020012200112210110
42203103121330021120210
52432330340404000400
635511211105053020
72235525241424430
oct243233174113044
943654205615713
1011222111000100
1136372a8110810
121312b06327170
1363531858a830
142ab22004d9c0
15146da5d85e50
hexa34d9f09624

11222111000100 has 576 divisors, whose sum is σ = 44773446316032. Its totient is φ = 2094315264000.

The previous prime is 11222111000027. The next prime is 11222111000117. The reversal of 11222111000100 is 100011122211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10606105 + ... + 11616095.

It is an arithmetic number, because the mean of its divisors is an integer number (77731677632).

Almost surely, 211222111000100 is an apocalyptic number.

11222111000100 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 11222111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386723158016).

11222111000100 is an abundant number, since it is smaller than the sum of its proper divisors (33551335315932).

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

11222111000100 is a wasteful number, since it uses less digits than its factorization.

11222111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010076 (or 1010069 counting only the distinct ones).

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

Adding to 11222111000100 its reverse (100011122211), we get a palindrome (11322122122311).

The spelling of 11222111000100 in words is "eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred", and thus it is an aban number.