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11110000112220 = 22352371415727277
BaseRepresentation
bin1010000110101011111110…
…0111000011001001011100
31110100002212000021100121210
42201222333213003021130
52424011240012042340
635343510311424420
72224446105542052
oct241527747031134
943302760240553
1011110000112220
1135a37a7476369
1212b5238685110
1362788c960059
142a5a267881d2
15143ee37c5180
hexa1abf9c325c

11110000112220 has 192 divisors, whose sum is σ = 32926838224896. Its totient is φ = 2793167139840.

The previous prime is 11110000112201. The next prime is 11110000112221. The reversal of 11110000112220 is 2221100001111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11110000112196 and 11110000112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110000112221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 407289222 + ... + 407316498.

It is an arithmetic number, because the mean of its divisors is an integer number (171493949088).

Almost surely, 211110000112220 is an apocalyptic number.

11110000112220 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 11110000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463419112448).

11110000112220 is an abundant number, since it is smaller than the sum of its proper divisors (21816838112676).

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

11110000112220 is a wasteful number, since it uses less digits than its factorization.

11110000112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110000112220 its reverse (2221100001111), we get a palindrome (13331100113331).

The spelling of 11110000112220 in words is "eleven trillion, one hundred ten billion, one hundred twelve thousand, two hundred twenty".