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111122012121021 = 32117435393280121
BaseRepresentation
bin11001010001000010011100…
…000011110010011110111101
3112120110011100002022011020100
4121101002130003302132331
5104031110340100333041
61032200425253311313
732256205023265206
oct3121023403623675
9476404302264210
10111122012121021
1132452642996540
1210568235035539
134a009b75837c5
141d62496a225ad
15cca8128d86b6
hex65109c0f27bd

111122012121021 has 48 divisors (see below), whose sum is σ = 175370158484352. Its totient is φ = 67243321420800.

The previous prime is 111122012120971. The next prime is 111122012121037. The reversal of 111122012121021 is 120121210221111.

It is a happy number.

111122012121021 is a `hidden beast` number, since 1 + 111 + 220 + 121 + 210 + 2 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-111122012121021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111122012120985 and 111122012121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122012121061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396552841 + ... + 396832961.

It is an arithmetic number, because the mean of its divisors is an integer number (3653544968424).

Almost surely, 2111122012121021 is an apocalyptic number.

111122012121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111122012121021 is a deficient number, since it is larger than the sum of its proper divisors (64248146363331).

111122012121021 is a wasteful number, since it uses less digits than its factorization.

111122012121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286274 (or 286271 counting only the distinct ones).

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

Adding to 111122012121021 its reverse (120121210221111), we get a palindrome (231243222342132).

The spelling of 111122012121021 in words is "one hundred eleven trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 743 2229 5393 6687 8173 16179 24519 48537 59323 73557 177969 280121 533907 840363 2521089 3081331 4006999 9243993 12020997 27731979 36062991 44076989 132230967 208129903 396692901 624389709 1510692553 1873169127 2289428933 4532077659 6868286799 13596232977 16617618083 20604860397 49852854249 149558562747 1122444566879 3367333700637 10102001101911 12346890235669 37040670707007 111122012121021