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20012222112102 = 23211179761292801
BaseRepresentation
bin1001000110011011101010…
…11000111110000101100110
32121212011001011112010112100
410203031311120332011212
510110340012330041402
6110321253220232530
74133556343166523
oct443156530760546
977764034463470
1020012222112102
116416154734830
1222b260483b746
13b221b547542c
144d284d57614a
1524a86cd7c71c
hex12337563e166

20012222112102 has 96 divisors (see below), whose sum is σ = 50600395276704. Its totient is φ = 5648744448000.

The previous prime is 20012222112097. The next prime is 20012222112137. The reversal of 20012222112102 is 20121122221002.

It is a happy number.

20012222112102 is a `hidden beast` number, since 20 + 0 + 1 + 222 + 211 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30319899 + ... + 30972902.

It is an arithmetic number, because the mean of its divisors is an integer number (527087450799).

Almost surely, 220012222112102 is an apocalyptic number.

20012222112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20012222112102 is an abundant number, since it is smaller than the sum of its proper divisors (30588173164602).

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

20012222112102 is a wasteful number, since it uses less digits than its factorization.

20012222112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61292934 (or 61292931 counting only the distinct ones).

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

Adding to 20012222112102 its reverse (20121122221002), we get a palindrome (40133344333104).

The spelling of 20012222112102 in words is "twenty trillion, twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 97 99 102 153 187 194 198 291 306 374 561 582 873 1067 1122 1649 1683 1746 2134 3201 3298 3366 4947 6402 9603 9894 14841 18139 19206 29682 36278 54417 108834 163251 326502 61292801 122585602 183878403 367756806 551635209 674220811 1041977617 1103270418 1348441622 2022662433 2083955234 3125932851 4045324866 5945401697 6067987299 6251865702 9377798553 11461753787 11890803394 12135974598 17836205091 18755597106 22923507574 34385261361 35672410182 53508615273 65399418667 68770522722 101071828849 103155784083 107017230546 130798837334 196198256001 202143657698 206311568166 303215486547 392396512002 588594768003 606430973094 909646459641 1111790117339 1177189536006 1819292919282 2223580234678 3335370352017 6670740704034 10006111056051 20012222112102