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110222122122 = 23274125798273
BaseRepresentation
bin110011010100111000…
…0000001110010001010
3101112111120100221122100
41212221300001302022
53301213330401442
6122345122334230
710651256402550
oct1465160016212
9345446327570
10110222122122
1142821572812
12194411ba376
13a51752b508
1454988c3bd0
152d0187184c
hex19a9c01c8a

110222122122 has 96 divisors (see below), whose sum is σ = 279730039680. Its totient is φ = 30708311040.

The previous prime is 110222122121. The next prime is 110222122123. The reversal of 110222122122 is 221221222011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110222122121) and next prime (110222122123).

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 = 110222122095 and 110222122104.

It is not an unprimeable number, because it can be changed into a prime (110222122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13318978 + ... + 13327250.

It is an arithmetic number, because the mean of its divisors is an integer number (2913854580).

Almost surely, 2110222122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139865019840).

110222122122 is an abundant number, since it is smaller than the sum of its proper divisors (169507917558).

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

110222122122 is a wasteful number, since it uses less digits than its factorization.

110222122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10905 counting only the distinct ones).

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

Adding to 110222122122 its reverse (221221222011), we get a palindrome (331443344133).

The spelling of 110222122122 in words is "one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2579 2583 5158 5166 7737 8273 15474 16546 18053 23211 24819 36106 46422 49638 54159 57911 74457 105739 108318 115822 148914 162477 173733 211478 317217 324954 339193 347466 521199 634434 678386 740173 951651 1017579 1042398 1480346 1903302 2035158 2220519 2374351 3052737 4441038 4748702 6105474 6661557 7123053 13323114 14246106 21336067 21369159 42672134 42738318 64008201 128016402 149352469 192024603 298704938 384049206 448057407 874778747 896114814 1344172221 1749557494 2624336241 2688344442 5248672482 6123451229 7873008723 12246902458 15746017446 18370353687 36740707374 55111061061 110222122122