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11110012200 = 23325273723831
BaseRepresentation
bin10100101100011010…
…10101010100101000
31001200021110002121100
422112031111110220
5140223130342300
65034234041400
7542213355060
oct122615252450
931607402540
1011110012200
114791348671
1221a0879260
131080965421
1477574a3a0
15450570700
hex296355528

11110012200 has 288 divisors, whose sum is σ = 43795589760. Its totient is φ = 2470694400.

The previous prime is 11110012189. The next prime is 11110012219. The reversal of 11110012200 is 221001111.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454285 + ... + 478115.

It is an arithmetic number, because the mean of its divisors is an integer number (152068020).

Almost surely, 211110012200 is an apocalyptic number.

11110012200 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 11110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897794880).

11110012200 is an abundant number, since it is smaller than the sum of its proper divisors (32685577560).

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

11110012200 is a wasteful number, since it uses less digits than its factorization.

11110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23897 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110012200 its reverse (221001111), we get a palindrome (11331013311).

The spelling of 11110012200 in words is "eleven billion, one hundred ten million, twelve thousand, two hundred".