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110022000030 = 2335292499971
BaseRepresentation
bin110011001110111010…
…0100111110110011110
3101111222121210200202000
41212131310213312132
53300311113000110
6122313213143130
710643306366325
oct1463564476636
9344877720660
10110022000030
1142729607058
12193a618aaa6
13a4b4c30787
14547a0ad0bc
152cddee11c0
hex199dd27d9e

110022000030 has 192 divisors, whose sum is σ = 304780320000. Its totient is φ = 28241619840.

The previous prime is 110022000019. The next prime is 110022000061. The reversal of 110022000030 is 30000220011.

It is a happy number.

110022000030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 110021999976 and 110022000021.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 113307445 + ... + 113308415.

It is an arithmetic number, because the mean of its divisors is an integer number (1587397500).

Almost surely, 2110022000030 is an apocalyptic number.

110022000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390160000).

110022000030 is an abundant number, since it is smaller than the sum of its proper divisors (194758319970).

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

110022000030 is a wasteful number, since it uses less digits than its factorization.

110022000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 110022000030 its reverse (30000220011), we get a palindrome (140022220041).

The spelling of 110022000030 in words is "one hundred ten billion, twenty-two million, thirty", and thus it is an aban number.