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111000221200000 = 27551122293393
BaseRepresentation
bin11001001111010001000000…
…110000010010111010000000
3112120000111222021012022221201
4121033101000300102322000
5104022111423111400000
61032024444143230544
732244333646450546
oct3117210060227200
9476014867168851
10111000221200000
1132405a25108a00
12105487055a8454
1349c2378337972
141d5a6218c7d96
15cc75855be96a
hex64f440c12e80

111000221200000 has 288 divisors, whose sum is σ = 303810467034060. Its totient is φ = 40363699200000.

The previous prime is 111000221199979. The next prime is 111000221200003. The reversal of 111000221200000 is 2122000111.

It can be written as a sum of positive squares in 6 ways, for example, as 42636825377344 + 68363395822656 = 6529688^2 + 8268216^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 111000221200000.

It is not an unprimeable number, because it can be changed into a prime (111000221200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47253304 + ... + 49546696.

Almost surely, 2111000221200000 is an apocalyptic number.

111000221200000 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 111000221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151905233517030).

111000221200000 is an abundant number, since it is smaller than the sum of its proper divisors (192810245834060).

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

111000221200000 is an frugal number, since it uses more digits than its factorization.

111000221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293454 (or 2293411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111000221200000 its reverse (2122000111), we get a palindrome (111002343200111).

The spelling of 111000221200000 in words is "one hundred eleven trillion, two hundred twenty-one million, two hundred thousand".