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11102210000 = 24547199797
BaseRepresentation
bin10100101011011111…
…00100011111010000
31001122201202200222222
422111233210133100
5140214131210000
65033354520212
7542060141120
oct122557443720
931581680888
1011102210000
1147879a9772
12219a136068
13107c16303b
147746b8c80
1544ea2da85
hex295be47d0

11102210000 has 200 divisors, whose sum is σ = 30912604800. Its totient is φ = 3782592000.

The previous prime is 11102209991. The next prime is 11102210003. The reversal of 11102210000 is 1220111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-5 number, since 5×111022100005 (a number of 51 digits) contains 55555 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11102210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13929602 + ... + 13930398.

It is an arithmetic number, because the mean of its divisors is an integer number (154563024).

Almost surely, 211102210000 is an apocalyptic number.

11102210000 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 11102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456302400).

11102210000 is an abundant number, since it is smaller than the sum of its proper divisors (19810394800).

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

11102210000 is an equidigital number, since it uses as much as digits as its factorization.

11102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1010 counting only the distinct ones).

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

Adding to 11102210000 its reverse (1220111), we get a palindrome (11103430111).

The spelling of 11102210000 in words is "eleven billion, one hundred two million, two hundred ten thousand".