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11221100000 = 2555111012
BaseRepresentation
bin10100111001101010…
…00110010111100000
31001222000110221102022
422130311012113200
5140440100200000
65053243041012
7545032530155
oct123465062740
931860427368
1011221100000
114839022570
122211b10168
13109a98b956
147863c622c
1545a1b5585
hex29cd465e0

11221100000 has 216 divisors, whose sum is σ = 30424099608. Its totient is φ = 4040000000.

The previous prime is 11221099973. The next prime is 11221100017. The reversal of 11221100000 is 112211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111099950 + ... + 111100050.

It is an arithmetic number, because the mean of its divisors is an integer number (140852313).

Almost surely, 211221100000 is an apocalyptic number.

11221100000 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 11221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212049804).

11221100000 is an abundant number, since it is smaller than the sum of its proper divisors (19202999608).

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

11221100000 is an frugal number, since it uses more digits than its factorization.

11221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11221100000 its reverse (112211), we get a palindrome (11221212211).

11221100000 divided by its reverse (112211) gives a 5-th power (100000 = 105).

It can be divided in two parts, 112 and 21100000, that added together give a palindrome (21100112).

The spelling of 11221100000 in words is "eleven billion, two hundred twenty-one million, one hundred thousand".