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21112012222112 = 257239733915097
BaseRepresentation
bin1001100110011100001011…
…11111010010111010100000
32202202021210102122101022202
410303032011333102322200
510231344400112101422
6112522420255152332
74306202225656100
oct463160577227240
982667712571282
1021112012222112
1167aa610568319
12244b7962156a8
13ba1b14912936
1452db80c05200
1526928a1bdb92
hex133385fd2ea0

21112012222112 has 72 divisors (see below), whose sum is σ = 48472068533364. Its totient is φ = 9025214026752.

The previous prime is 21112012222087. The next prime is 21112012222123. The reversal of 21112012222112 is 21122221021112.

It can be written as a sum of positive squares in 2 ways, for example, as 20940910863376 + 171101358736 = 4576124^2 + 413644^2 .

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 11 ways as a sum of consecutive naturals, for example, 16335053 + ... + 17580044.

Almost surely, 221112012222112 is an apocalyptic number.

It is an amenable number.

21112012222112 is an abundant number, since it is smaller than the sum of its proper divisors (27360056311252).

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

21112012222112 is a wasteful number, since it uses less digits than its factorization.

21112012222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915518 (or 33915503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21112012222112 its reverse (21122221021112), we get a palindrome (42234233243224).

The spelling of 21112012222112 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 397 784 794 1568 1588 2779 3176 5558 6352 11116 12704 19453 22232 38906 44464 77812 88928 155624 311248 622496 33915097 67830194 135660388 237405679 271320776 474811358 542641552 949622716 1085283104 1661839753 1899245432 3323679506 3798490864 6647359012 7596981728 13294718024 13464293509 26589436048 26928587018 53178872096 53857174036 94250054563 107714348072 188500109126 215428696144 377000218252 430857392288 659750381941 754000436504 1319500763882 1508000873008 2639001527764 3016001746016 5278003055528 10556006111056 21112012222112