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110022220040 = 235194315712143
BaseRepresentation
bin110011001110111010…
…1011101100100001000
3101111222122012212112112
41212131311131210020
53300311142020130
6122313222001452
710643311303625
oct1463565354410
9344878185475
10110022220040
1142729747387
12193a6276288
13a4b4ca9965
14547a12934c
152cde036495
hex199dd5d908

110022220040 has 128 divisors (see below), whose sum is σ = 266933145600. Its totient is φ = 40678122240.

The previous prime is 110022220039. The next prime is 110022220081. The reversal of 110022220040 is 40022220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022219997 and 110022220024.

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 31 ways as a sum of consecutive naturals, for example, 51339209 + ... + 51341351.

It is an arithmetic number, because the mean of its divisors is an integer number (2085415200).

Almost surely, 2110022220040 is an apocalyptic number.

110022220040 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 110022220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133466572800).

110022220040 is an abundant number, since it is smaller than the sum of its proper divisors (156910925560).

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

110022220040 is a wasteful number, since it uses less digits than its factorization.

110022220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 110022220040 its reverse (40022220011), we get a palindrome (150044440051).

The spelling of 110022220040 in words is "one hundred ten billion, twenty-two million, two hundred twenty thousand, forty".