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110022000000 = 27356111667
BaseRepresentation
bin110011001110111010…
…0100111110110000000
3101111222121210200200220
41212131310213312000
53300311113000000
6122313213143040
710643306366253
oct1463564476600
9344877720626
10110022000000
1142729607030
12193a618aa80
13a4b4c30763
14547a0ad09a
152cddee11a0
hex199dd27d80

110022000000 has 448 divisors, whose sum is σ = 398751145920. Its totient is φ = 26656000000.

The previous prime is 110021999987. The next prime is 110022000019. The reversal of 110022000000 is 220011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 65999167 + ... + 66000833.

Almost surely, 2110022000000 is an apocalyptic number.

110022000000 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 110022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199375572960).

110022000000 is an abundant number, since it is smaller than the sum of its proper divisors (288729145920).

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

110022000000 is an frugal number, since it uses more digits than its factorization.

110022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 110022000000 its reverse (220011), we get a palindrome (110022220011).

The spelling of 110022000000 in words is "one hundred ten billion, twenty-two million", and thus it is an aban number.