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11221103000100 = 223527163154921163
BaseRepresentation
bin1010001101001001110111…
…0110111011101000100100
31110201201121221221211202010
42203102131312323220210
52432321304332000400
635510523100114220
72235461251524060
oct243223566735044
943651557854663
1011221103000100
113636930123464
121312884835970
136351b77ac226
142ab16621caa0
15146d47624450
hexa349ddbba24

11221103000100 has 288 divisors, whose sum is σ = 37357947827200. Its totient is φ = 2547322421760.

The previous prime is 11221103000087. The next prime is 11221103000101. The reversal of 11221103000100 is 100030112211.

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

It is not an unprimeable number, because it can be changed into a prime (11221103000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530212119 + ... + 530233281.

Almost surely, 211221103000100 is an apocalyptic number.

11221103000100 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 11221103000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678973913600).

11221103000100 is an abundant number, since it is smaller than the sum of its proper divisors (26136844827100).

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

11221103000100 is a wasteful number, since it uses less digits than its factorization.

11221103000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22899 (or 22892 counting only the distinct ones).

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

Adding to 11221103000100 its reverse (100030112211), we get a palindrome (11321133112311).

The spelling of 11221103000100 in words is "eleven trillion, two hundred twenty-one billion, one hundred three million, one hundred", and thus it is an aban number.