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21112210111122 = 232132271147134649
BaseRepresentation
bin1001100110011100100011…
…10010001011101010010010
32202202022022020000012000100
410303032101302023222102
510231400301242023442
6112522452044433230
74306210151002014
oct463162162135222
982668266005010
1021112210111122
1167aa702239259
12244b830548816
13ba1b4690b120
1452db9d1d81b4
1526929c75c84c
hex133391c8ba92

21112210111122 has 96 divisors (see below), whose sum is σ = 49484577542400. Its totient is φ = 6466697176320.

The previous prime is 21112210111099. The next prime is 21112210111163. The reversal of 21112210111122 is 22111101221112.

It is a happy number.

21112210111122 is a `hidden beast` number, since 211 + 1 + 221 + 0 + 111 + 122 = 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 = 21112210111095 and 21112210111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609299254 + ... + 609333902.

It is an arithmetic number, because the mean of its divisors is an integer number (515464349400).

Almost surely, 221112210111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112210111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742288771200).

21112210111122 is an abundant number, since it is smaller than the sum of its proper divisors (28372367431278).

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

21112210111122 is a wasteful number, since it uses less digits than its factorization.

21112210111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46368 (or 46365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21112210111122 its reverse (22111101221112), we get a palindrome (43223311332234).

The spelling of 21112210111122 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 681 1362 2043 2951 4086 5902 8853 11471 17706 22942 26559 34413 34649 53118 68826 69298 103239 103947 149123 206478 207894 298246 311841 447369 450437 623682 894738 900874 1342107 1351311 2603917 2684214 2702622 4053933 5207834 7811751 7865323 8107866 15623502 15730646 23435253 23595969 33850921 46870506 47191938 67701842 70787907 101552763 102249199 141575814 203105526 204498398 304658289 306747597 397458679 609316578 613495194 794917358 920242791 1192376037 1840485582 2384752074 3577128111 5166962827 7154256222 10333925654 15500888481 31001776962 46502665443 90223120133 93005330886 180446240266 270669360399 541338720798 812008081197 1172900561729 1624016162394 2345801123458 3518701685187 7037403370374 10556105055561 21112210111122