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111112000112022 = 237131314583338959
BaseRepresentation
bin11001010000111001000111…
…010011000000010110010110
3112120102012111022221101212020
4121100321013103000112112
5104030424334012041042
61032152052001234010
732255401641515460
oct3120710723002626
9476365438841766
10111112000112022
1132449375419a38
1210566300032906
1349cca80250220
141d61bc7055130
15cca4289573ec
hex650e474c0596

111112000112022 has 128 divisors (see below), whose sum is σ = 275655244677120. Its totient is φ = 29074136008320.

The previous prime is 111112000112017. The next prime is 111112000112039. The reversal of 111112000112022 is 220211000211111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111112000111992 and 111112000112010.

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, 327634179 + ... + 327973137.

It is an arithmetic number, because the mean of its divisors is an integer number (2153556599040).

Almost surely, 2111112000112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112000112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137827622338560).

111112000112022 is an abundant number, since it is smaller than the sum of its proper divisors (164543244565098).

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

111112000112022 is a wasteful number, since it uses less digits than its factorization.

111112000112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343698.

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

Adding to 111112000112022 its reverse (220211000211111), we get a palindrome (331323000323133).

The spelling of 111112000112022 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1703 1834 2751 3406 4583 5109 5502 9166 10218 11921 13749 23842 27498 32081 35763 59579 64162 71526 96243 119158 178737 192486 338959 357474 417053 600373 677918 834106 1016877 1200746 1251159 1801119 2033754 2372713 2502318 3602238 4202611 4406467 4745426 7118139 7804849 8405222 8812934 12607833 13219401 14236278 15609698 23414547 25215666 26438802 30845269 44403629 46829094 54633943 61690538 88807258 92535807 109267886 133210887 163901829 185071614 266421774 310825403 327803658 577247177 621650806 932476209 1154494354 1553449097 1731741531 1864952418 3106898194 3463483062 4040730239 4660347291 8081460478 9320694582 10874143679 12122190717 20194838261 21748287358 24244381434 32622431037 40389676522 60584514783 65244862074 121169029566 141363867827 203501831707 282727735654 407003663414 424091603481 610505495121 848183206962 1221010990242 1424512821949 2645523812191 2849025643898 4273538465847 5291047624382 7936571436573 8547076931694 15873142873146 18518666685337 37037333370674 55556000056011 111112000112022