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11120110320 = 24351129337431
BaseRepresentation
bin10100101101100111…
…10110101011110000
31001200222110010121210
422112303312223300
5140233222012240
65035234320120
7542365243464
oct122663665360
931628403553
1011120110320
114797015520
1221a4129040
131082a8c847
14776c184a4
154513b7780
hex296cf6af0

11120110320 has 320 divisors, whose sum is σ = 39108925440. Its totient is φ = 2589081600.

The previous prime is 11120110301. The next prime is 11120110327. The reversal of 11120110320 is 2301102111.

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 = 11120110296 and 11120110305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120110327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25800505 + ... + 25800935.

It is an arithmetic number, because the mean of its divisors is an integer number (122215392).

Almost surely, 211120110320 is an apocalyptic number.

11120110320 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 11120110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554462720).

11120110320 is an abundant number, since it is smaller than the sum of its proper divisors (27988815120).

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

11120110320 is a wasteful number, since it uses less digits than its factorization.

11120110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

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

Adding to 11120110320 its reverse (2301102111), we get a palindrome (13421212431).

The spelling of 11120110320 in words is "eleven billion, one hundred twenty million, one hundred ten thousand, three hundred twenty".