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21111112331322 = 23131079372699561
BaseRepresentation
bin1001100110011010100000…
…10110011111000000111010
32202202012110201100012020020
410303031100112133000322
510231341024224100242
6112522151111311310
74306141021013556
oct463152026370072
982665421305206
1021111112331322
1167aa199600022
12244b58497b536
13ba1a00356b90
1452dad74b6866
152692361b46ec
hex13335059f03a

21111112331322 has 64 divisors (see below), whose sum is σ = 45944040046464. Its totient is φ = 6428149079040.

The previous prime is 21111112331317. The next prime is 21111112331377. The reversal of 21111112331322 is 22313321111112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21111112331292 and 21111112331301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6470422 + ... + 9169982.

It is an arithmetic number, because the mean of its divisors is an integer number (717875625726).

Almost surely, 221111112331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111112331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972020023232).

21111112331322 is an abundant number, since it is smaller than the sum of its proper divisors (24832927715142).

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

21111112331322 is a wasteful number, since it uses less digits than its factorization.

21111112331322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700623.

The product of its digits is 432, while the sum is 24.

Adding to 21111112331322 its reverse (22313321111112), we get a palindrome (43424433442434).

The spelling of 21111112331322 in words is "twenty-one trillion, one hundred eleven billion, one hundred twelve million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 937 1391 1874 2782 2811 4173 5622 8346 12181 24362 36543 73086 100259 200518 300777 601554 1303367 2606734 2699561 3910101 5399122 7820202 8098683 16197366 35094293 70188586 105282879 210565758 288853027 577706054 866559081 1733118162 2529488657 3755089351 5058977314 7510178702 7588465971 11265268053 15176931942 22530536106 32883352541 65766705082 98650057623 197300115246 270655286299 541310572598 811965858897 1623931717794 3518518721887 7037037443774 10555556165661 21111112331322