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111222020105 = 5726150914621
BaseRepresentation
bin110011110010101011…
…0010101100000001001
3101122002020212000210222
41213211112111200021
53310240314120410
6123032241515425
711015120400200
oct1474526254011
9348066760728
10111222020105
1143194a26989
1219680042b75
13a646731121
145551606237
152d5e532955
hex19e5595809

111222020105 has 48 divisors (see below), whose sum is σ = 158122892880. Its totient is φ = 74863756800.

The previous prime is 111222020087. The next prime is 111222020111. The reversal of 111222020105 is 501020222111.

It can be written as a sum of positive squares in 8 ways, for example, as 34490804089 + 76731216016 = 185717^2 + 277004^2 .

It is not a de Polignac number, because 111222020105 - 214 = 111222003721 is a prime.

It is a super-2 number, since 2×1112220201052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7599695 + ... + 7614315.

It is an arithmetic number, because the mean of its divisors is an integer number (3294226935).

Almost surely, 2111222020105 is an apocalyptic number.

It is an amenable number.

111222020105 is a deficient number, since it is larger than the sum of its proper divisors (46900872775).

111222020105 is a wasteful number, since it uses less digits than its factorization.

111222020105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15210 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 111222020105 its reverse (501020222111), we get a palindrome (612242242216).

The spelling of 111222020105 in words is "one hundred eleven billion, two hundred twenty-two million, twenty thousand, one hundred five".

Divisors: 1 5 7 35 49 61 245 305 427 509 2135 2545 2989 3563 14621 14945 17815 24941 31049 73105 102347 124705 155245 217343 511735 716429 891881 1086715 1521401 3582145 4459405 6243167 7442089 7607005 31215835 37210445 43702169 52094623 218510845 260473115 364662361 453967429 1823311805 2269837145 3177772003 15888860015 22244404021 111222020105