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110122121120022 = 232113498115899269
BaseRepresentation
bin11001000010011111001101…
…111010010100100100010110
3112102220120102221222110021100
4121002133031322110210112
5103413220101001320042
61030113223135130530
732124026551101414
oct3102371572244426
9472816387873240
10110122121120022
11320a7590549170
12104264a3673a46
13495a618a5c81b
141d29d20c702b4
15cae7e0a0324c
hex6427cde94916

110122121120022 has 48 divisors (see below), whose sum is σ = 260296107149520. Its totient is φ = 33369383678400.

The previous prime is 110122121119993. The next prime is 110122121120023. The reversal of 110122121120022 is 220021121221011.

110122121120022 is a `hidden beast` number, since 1 + 10 + 1 + 221 + 211 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110122121119977 and 110122121120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122121120023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1023397 + ... + 14875872.

It is an arithmetic number, because the mean of its divisors is an integer number (5422835565615).

Almost surely, 2110122121120022 is an apocalyptic number.

110122121120022 is an abundant number, since it is smaller than the sum of its proper divisors (150173986029498).

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

110122121120022 is a wasteful number, since it uses less digits than its factorization.

110122121120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934269 (or 15934266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110122121120022 its reverse (220021121221011), we get a palindrome (330143242341033).

The spelling of 110122121120022 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 34981 69962 104943 209886 314829 384791 629658 769582 1154373 2308746 3463119 6926238 15899269 31798538 47697807 95395614 143093421 174891959 286186842 349783918 524675877 1049351754 1574027631 3148055262 556172328889 1112344657778 1668516986667 3337033973334 5005550960001 6117895617779 10011101920002 12235791235558 18353686853337 36707373706674 55061060560011 110122121120022