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11222010000 = 24335489467
BaseRepresentation
bin10100111001110001…
…00100100010010000
31001222002012011201000
422130320210202100
5140440313310000
65053314342000
7545043340215
oct123470444220
931862164630
1011222010000
114839594233
12221228a900
13109ac19c06
14786581b0c
1545a2e5000
hex29ce24890

11222010000 has 400 divisors, whose sum is σ = 40790692800. Its totient is φ = 2952576000.

The previous prime is 11222009987. The next prime is 11222010043. The reversal of 11222010000 is 1022211.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 79 ways as a sum of consecutive naturals, for example, 24029767 + ... + 24030233.

It is an arithmetic number, because the mean of its divisors is an integer number (101976732).

Almost surely, 211222010000 is an apocalyptic number.

11222010000 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 11222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395346400).

11222010000 is an abundant number, since it is smaller than the sum of its proper divisors (29568682800).

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

11222010000 is an equidigital number, since it uses as much as digits as its factorization.

11222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11222010000 its reverse (1022211), we get a palindrome (11223032211).

The spelling of 11222010000 in words is "eleven billion, two hundred twenty-two million, ten thousand".