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2111104422 = 232723371909
BaseRepresentation
bin111110111010100…
…1110010110100110
312110010102012211200
41331311032112212
513310420320142
6545252143330
7103213043250
oct17565162646
95403365750
102111104422
11993732aa9
124ab007b46
132784a831b
1416053acd0
15c550c64c
hex7dd4e5a6

2111104422 has 48 divisors (see below), whose sum is σ = 5250005280. Its totient is φ = 600575616.

The previous prime is 2111104379. The next prime is 2111104441. The reversal of 2111104422 is 2244011112.

2111104422 is a `hidden beast` number, since 211 + 1 + 10 + 442 + 2 = 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 = 2111104395 and 2111104404.

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 23 ways as a sum of consecutive naturals, for example, 6597 + ... + 65312.

It is an arithmetic number, because the mean of its divisors is an integer number (109375110).

Almost surely, 22111104422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111104422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625002640).

2111104422 is an abundant number, since it is smaller than the sum of its proper divisors (3138900858).

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

2111104422 is a wasteful number, since it uses less digits than its factorization.

2111104422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72157 (or 72154 counting only the distinct ones).

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

The square root of 2111104422 is about 45946.7563817077. The cubic root of 2111104422 is about 1282.8323555267.

Adding to 2111104422 its reverse (2244011112), we get a palindrome (4355115534).

The spelling of 2111104422 in words is "two billion, one hundred eleven million, one hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 1398 1631 2097 3262 4194 4893 9786 14679 29358 71909 143818 215727 431454 503363 647181 1006726 1294362 1510089 3020178 4530267 9060534 16754797 33509594 50264391 100528782 117283579 150793173 234567158 301586346 351850737 703701474 1055552211 2111104422