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11103222000 = 2435313283503
BaseRepresentation
bin10100101011100110…
…11011100011110000
31001122210200010012110
422111303123203300
5140214411101000
65033432325320
7542101554423
oct122563334360
931583603173
1011103222000
114788530032
12219a543840
13107c428860
1477489d9ba
1544eb7d850
hex295cdb8f0

11103222000 has 320 divisors, whose sum is σ = 38763518976. Its totient is φ = 2718028800.

The previous prime is 11103221993. The next prime is 11103222007. The reversal of 11103222000 is 22230111.

It is an interprime number because it is at equal distance from previous prime (11103221993) and next prime (11103222007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22073749 + ... + 22074251.

Almost surely, 211103222000 is an apocalyptic number.

11103222000 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 11103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381759488).

11103222000 is an abundant number, since it is smaller than the sum of its proper divisors (27660296976).

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

11103222000 is a wasteful number, since it uses less digits than its factorization.

11103222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11103222000 its reverse (22230111), we get a palindrome (11125452111).

The spelling of 11103222000 in words is "eleven billion, one hundred three million, two hundred twenty-two thousand".