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11220421200 = 2435223735569
BaseRepresentation
bin10100111001100101…
…00000101001010000
31001221222012110021120
422130302200221100
5140434411434300
65053220322240
7545024002152
oct123462405120
931858173246
1011220421200
1148386a957a
122211843380
13109a7b19b1
1478628aad2
1545a0ce3a0
hex29cca0a50

11220421200 has 240 divisors, whose sum is σ = 38026078080. Its totient is φ = 2822307840.

The previous prime is 11220421189. The next prime is 11220421211. The reversal of 11220421200 is 212402211.

It is an interprime number because it is at equal distance from previous prime (11220421189) and next prime (11220421211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220421200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012016 + ... + 2017584.

It is an arithmetic number, because the mean of its divisors is an integer number (158441992).

Almost surely, 211220421200 is an apocalyptic number.

11220421200 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 11220421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013039040).

11220421200 is an abundant number, since it is smaller than the sum of its proper divisors (26805656880).

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

11220421200 is a wasteful number, since it uses less digits than its factorization.

11220421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11220421200 its reverse (212402211), we get a palindrome (11432823411).

The spelling of 11220421200 in words is "eleven billion, two hundred twenty million, four hundred twenty-one thousand, two hundred".