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2112102122202 = 234171718944617
BaseRepresentation
bin11110101111000011000…
…110001100001011011010
321110220201000202200220000
4132233003012030023122
5234101041120402302
64254141502313430
7305410600551462
oct36570306141332
97426630680800
102112102122202
11744812649476
122a140a888876
1312422a413067
1474324d12ba2
1539e1990b31c
hex1ebc318c2da

2112102122202 has 80 divisors (see below), whose sum is σ = 5011469666280. Its totient is φ = 662566874112.

The previous prime is 2112102122189. The next prime is 2112102122209. The reversal of 2112102122202 is 2022212012112.

It is a happy number.

2112102122202 is a `hidden beast` number, since 21 + 1 + 210 + 212 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2014182569961 + 97919552241 = 1419219^2 + 312921^2 .

It is a super-2 number, since 2×21121021222022 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112102122209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47316198 + ... + 47360814.

Almost surely, 22112102122202 is an apocalyptic number.

2112102122202 is an abundant number, since it is smaller than the sum of its proper divisors (2899367544078).

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

2112102122202 is a wasteful number, since it uses less digits than its factorization.

2112102122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61837 (or 61828 counting only the distinct ones).

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

Adding to 2112102122202 its reverse (2022212012112), we get a palindrome (4134314134314).

The spelling of 2112102122202 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 17189 34378 44617 51567 89234 103134 133851 154701 267702 292213 309402 401553 464103 584426 758489 803106 876639 928206 1204659 1392309 1516978 1753278 2275467 2409318 2629917 2784618 3613977 4550934 5259834 6826401 7227954 7889751 13652802 15779502 20479203 23669253 40958406 47338506 61437609 122875218 766921613 1533843226 2300764839 4601529678 6902294517 13037667421 13804589034 20706883551 26075334842 39113002263 41413767102 62120650653 78226004526 117339006789 124241301306 234678013578 352017020367 704034040734 1056051061101 2112102122202