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110122112221 = 1124497512699
BaseRepresentation
bin110011010001111001…
…0100001010011011101
3101112020121011220211221
41212203302201103131
53301012230042341
6122331151013341
710645633336522
oct1464362412335
9345217156757
10110122112221
1142780074900
121941380a251
13a4cc8b3364
1454894cd149
152ce7bb8ed1
hex19a3ca14dd

110122112221 has 24 divisors (see below), whose sum is σ = 121519440000. Its totient is φ = 99718080000.

The previous prime is 110122112209. The next prime is 110122112227. The reversal of 110122112221 is 122211221011.

It is a de Polignac number, because none of the positive numbers 2k-110122112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110122112195 and 110122112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122112227) 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 23 ways as a sum of consecutive naturals, for example, 40799730 + ... + 40802428.

It is an arithmetic number, because the mean of its divisors is an integer number (5063310000).

Almost surely, 2110122112221 is an apocalyptic number.

110122112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122112221 is a deficient number, since it is larger than the sum of its proper divisors (11397327779).

110122112221 is a wasteful number, since it uses less digits than its factorization.

110122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122112221 its reverse (122211221011), we get a palindrome (232333333232).

The spelling of 110122112221 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 121 449 751 2699 4939 8261 29689 54329 90871 326579 337199 1211851 2026949 3709189 13330361 22296439 40801079 146633971 245260829 910100101 10011101111 110122112221