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21112221100110 = 2357178836697381
BaseRepresentation
bin1001100110011100100100…
…11100000110100001001110
32202202022022222200111001220
410303032102130012201032
510231400312100200420
6112522453120144210
74306210343260620
oct463162234064116
982668288614056
1021112221100110
1167aa708464468
12244b834168066
13ba1b48c87b9a
1452dba0858c10
1526929d6cd840
hex13339270684e

21112221100110 has 128 divisors (see below), whose sum is σ = 61383595613184. Its totient is φ = 4536644474880.

The previous prime is 21112221100109. The next prime is 21112221100163. The reversal of 21112221100110 is 1100112221112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21112221100110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196381 + ... + 6501000.

It is an arithmetic number, because the mean of its divisors is an integer number (479559340728).

Almost surely, 221112221100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112221100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30691797806592).

21112221100110 is an abundant number, since it is smaller than the sum of its proper divisors (40271374513074).

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

21112221100110 is a wasteful number, since it uses less digits than its factorization.

21112221100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698298.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21112221100110 its reverse (1100112221112), we get a palindrome (22212333321222).

The spelling of 21112221100110 in words is "twenty-one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 883 1190 1766 1785 2649 3570 4415 5298 6181 8830 12362 13245 15011 18543 26490 30022 30905 37086 45033 61810 75055 90066 92715 105077 150110 185430 210154 225165 315231 450330 525385 630462 1050770 1576155 3152310 6697381 13394762 20092143 33486905 40184286 46881667 66973810 93763334 100460715 113855477 140645001 200921430 227710954 234408335 281290002 341566431 468816670 569277385 683132862 703225005 796988339 1138554770 1406450010 1593976678 1707832155 2390965017 3415664310 3984941695 4781930034 5913787423 7969883390 11827574846 11954825085 17741362269 23909650170 29568937115 35482724538 41396511961 59137874230 82793023922 88706811345 100534386191 124189535883 177413622690 201068772382 206982559805 248379071766 301603158573 413965119610 502671930955 603206317146 620947679415 703740703337 1005343861910 1241895358830 1407481406674 1508015792865 2111222110011 3016031585730 3518703516685 4222444220022 7037407033370 10556110550055 21112221100110