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11221332000 = 2535323109373
BaseRepresentation
bin10100111001101011…
…11111000000100000
31001222000220201122220
422130311333000200
5140440130111000
65053252031040
7545034514434
oct123465770040
931860821586
1011221332000
1148391708aa
122212002480
13109aa40428
147864469c4
1545a20e1a0
hex29cd7f020

11221332000 has 384 divisors, whose sum is σ = 38815096320. Its totient is φ = 2828390400.

The previous prime is 11221331951. The next prime is 11221332029. The reversal of 11221332000 is 23312211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30083814 + ... + 30084186.

It is an arithmetic number, because the mean of its divisors is an integer number (101080980).

Almost surely, 211221332000 is an apocalyptic number.

11221332000 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 11221332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407548160).

11221332000 is an abundant number, since it is smaller than the sum of its proper divisors (27593764320).

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

11221332000 is a wasteful number, since it uses less digits than its factorization.

11221332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11221332000 its reverse (23312211), we get a palindrome (11244644211).

The spelling of 11221332000 in words is "eleven billion, two hundred twenty-one million, three hundred thirty-two thousand".