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21122122112 = 277131813369
BaseRepresentation
bin10011101010111110…
…100000000110000000
32000112000222222101222
4103222332200012000
5321224230401422
613411532214212
71345266034640
oct235276400600
960460888358
1021122122112
118a59983a73
12411590a368
131cb8002910
141045342520
15839521842
hex4eafa0180

21122122112 has 64 divisors (see below), whose sum is σ = 51789847200. Its totient is φ = 8355999744.

The previous prime is 21122122097. The next prime is 21122122123.

21122122112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×211221221122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895037 + ... + 918332.

Almost surely, 221122122112 is an apocalyptic number.

It is an amenable number.

21122122112 is an abundant number, since it is smaller than the sum of its proper divisors (30667725088).

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

21122122112 is a wasteful number, since it uses less digits than its factorization.

21122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813403 (or 1813391 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The spelling of 21122122112 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 1813369 3626738 7253476 12693583 14506952 23573797 25387166 29013904 47147594 50774332 58027808 94295188 101548664 116055616 165016579 188590376 203097328 232111232 330033158 377180752 406194656 660066316 754361504 812389312 1320132632 1508723008 1624778624 2640265264 3017446016 5280530528 10561061056 21122122112