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2112102122022 = 232131237918041
BaseRepresentation
bin11110101111000011000…
…110001100001000100110
321110220201000202200122100
4132233003012030020212
5234101041120401042
64254141502312530
7305410600551114
oct36570306141046
97426630680570
102112102122022
11744812649322
122a140a888746
1312422a412c59
1474324d12ab4
1539e1990b24c
hex1ebc318c226

2112102122022 has 72 divisors (see below), whose sum is σ = 4623844534920. Its totient is φ = 696777681600.

The previous prime is 2112102122003. The next prime is 2112102122113. The reversal of 2112102122022 is 2202212012112.

It is a happy number.

2112102122022 is a `hidden beast` number, since 211 + 210 + 2 + 1 + 220 + 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 = 2112102121986 and 2112102122004.

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 35 ways as a sum of consecutive naturals, for example, 117063322 + ... + 117081362.

It is an arithmetic number, because the mean of its divisors is an integer number (64220062985).

Almost surely, 22112102122022 is an apocalyptic number.

2112102122022 is an abundant number, since it is smaller than the sum of its proper divisors (2511742412898).

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

2112102122022 is a wasteful number, since it uses less digits than its factorization.

2112102122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18690 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112102122022 its reverse (2202212012112), we get a palindrome (4314314134134).

The spelling of 2112102122022 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 131 262 379 393 758 786 1137 1179 2274 2358 3411 6822 17161 18041 34322 36082 49649 51483 54123 99298 102966 108246 148947 154449 162369 297894 308898 324738 446841 893682 2363371 4726742 6504019 6837539 7090113 13008038 13675078 14180226 19512057 20512617 21270339 39024114 41025234 42540678 58536171 61537851 117072342 123075702 309601601 619203202 895717609 928804803 1791435218 1857609606 2687152827 2786414409 5374305654 5572828818 8061458481 16122916962 117339006779 234678013558 352017020337 704034040674 1056051061011 2112102122022