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11222110230000 = 243541133310357
BaseRepresentation
bin1010001101001101100111…
…1001001101010111110000
31110201211020011020102102020
42203103121321031113300
52432330340204330000
635511211040351440
72235525232036305
oct243233171152760
943654204212366
1011222110230000
1136372a773516a
121312b06015580
1363531837b157
142ab21dccd0ac
15146da5c82ba0
hexa34d9e4d5f0

11222110230000 has 200 divisors, whose sum is σ = 36547067357328. Its totient is φ = 2966078976000.

The previous prime is 11222110229983. The next prime is 11222110230073. The reversal of 11222110230000 is 3201122211.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1734822 + ... + 5045178.

Almost surely, 211222110230000 is an apocalyptic number.

11222110230000 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 11222110230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273533678664).

11222110230000 is an abundant number, since it is smaller than the sum of its proper divisors (25324957127328).

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

11222110230000 is a wasteful number, since it uses less digits than its factorization.

11222110230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310501 (or 3310480 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11222110230000 its reverse (3201122211), we get a palindrome (11225311352211).

The spelling of 11222110230000 in words is "eleven trillion, two hundred twenty-two billion, one hundred ten million, two hundred thirty thousand".