Search a number
-
+
111120202021122 = 232728323571322137
BaseRepresentation
bin11001010001000000110000…
…001010110011100100000010
3112120102222122221021112222100
4121101000300022303210002
5104031043133204133442
61032155525512451230
732256112123554060
oct3121006012634402
9476388587245870
10111120202021122
11324518a4163708
1210567a0a9a9b16
134a00789568588
141d6236447b030
15cca758a3784c
hex6510302b3902

111120202021122 has 96 divisors (see below), whose sum is σ = 276244425205632. Its totient is φ = 31622996927232.

The previous prime is 111120202021121. The next prime is 111120202021151. The reversal of 111120202021122 is 221120202021111.

111120202021122 is a `hidden beast` number, since 111 + 120 + 202 + 0 + 211 + 22 = 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 = 111120202021095 and 111120202021104.

It is not an unprimeable number, because it can be changed into a prime (111120202021121) 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, 83384838 + ... + 84706974.

It is an arithmetic number, because the mean of its divisors is an integer number (2877546095892).

Almost surely, 2111120202021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111120202021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138122212602816).

111120202021122 is an abundant number, since it is smaller than the sum of its proper divisors (165124223184510).

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

111120202021122 is a wasteful number, since it uses less digits than its factorization.

111120202021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324792 (or 1324789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111120202021122 its reverse (221120202021111), we get a palindrome (332240404042233).

The spelling of 111120202021122 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 849 1698 1981 2357 2547 3962 4714 5094 5943 7071 11886 14142 16499 17829 21213 32998 35658 42426 49497 98994 148491 296982 667031 1322137 1334062 2001093 2644274 3966411 4002186 4669217 6003279 7932822 9254959 9338434 11899233 12006558 14007651 18509918 23798466 27764877 28015302 42022953 55529754 83294631 84045906 166589262 374164771 748329542 1122494313 2244988626 2619153397 3116276909 3367482939 5238306794 6232553818 6734965878 7857460191 9348830727 15714920382 18697661454 21813938363 23572380573 28046492181 43627876726 47144761146 56092984362 65441815089 130883630178 196325445267 392650890534 881906365247 1763812730494 2645719095741 5291438191482 6173344556729 7937157287223 12346689113458 15874314574446 18520033670187 37040067340374 55560101010561 111120202021122