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111414212332340 = 225172521129983681
BaseRepresentation
bin11001010101010010100100…
…100011001000101100110100
3112121111002120000112212101012
4121111102210203020230310
5104100402301324113330
61032542552122051352
732316261021145061
oct3125224443105464
9477432500485335
10111414212332340
1132555558332095
12105b49a2349b58
134a2241349b828
141d72695cd5c68
15cd3215448c95
hex6554a48c8b34

111414212332340 has 48 divisors (see below), whose sum is σ = 247831047579024. Its totient is φ = 41927535820800.

The previous prime is 111414212332253. The next prime is 111414212332363. The reversal of 111414212332340 is 43233212414111.

It can be written as a sum of positive squares in 8 ways, for example, as 23895418230436 + 87518794101904 = 4888294^2 + 9355148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111414212332297 and 111414212332306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64134701 + ... + 65848980.

It is an arithmetic number, because the mean of its divisors is an integer number (5163146824563).

Almost surely, 2111414212332340 is an apocalyptic number.

111414212332340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111414212332340 is an abundant number, since it is smaller than the sum of its proper divisors (136416835246684).

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

111414212332340 is a wasteful number, since it uses less digits than its factorization.

111414212332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129986228 (or 129986226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 111414212332340 its reverse (43233212414111), we get a palindrome (154647424746451).

The spelling of 111414212332340 in words is "one hundred eleven trillion, four hundred fourteen billion, two hundred twelve million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2521 5042 10084 12605 25210 42857 50420 85714 171428 214285 428570 857140 129983681 259967362 519934724 649918405 1299836810 2209722577 2599673620 4419445154 8838890308 11048612885 22097225770 44194451540 327688859801 655377719602 1310755439204 1638444299005 3276888598010 5570710616617 6553777196020 11141421233234 22282842466468 27853553083085 55707106166170 111414212332340