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112211102011122 = 23273199429128527
BaseRepresentation
bin11001100000111000101110…
…111000000000111011110010
3112201022021110122001220202200
4121200320232320000323302
5104201431314103323442
61034353022453324030
732430661466514162
oct3140705670007362
9481267418056680
10112211102011122
1132832508825484
121070331b036616
134a7c5ccc4833a
141d9d0911385a2
15ce8d0565434c
hex660e2ee00ef2

112211102011122 has 48 divisors (see below), whose sum is σ = 247692986361600. Its totient is φ = 36705937599936.

The previous prime is 112211102011121. The next prime is 112211102011139. The reversal of 112211102011122 is 221110201112211.

It is a happy number.

112211102011122 is a `hidden beast` number, since 11 + 221 + 110 + 201 + 1 + 122 = 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 = 112211102011095 and 112211102011104.

It is not an unprimeable number, because it can be changed into a prime (112211102011121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214302778 + ... + 214825749.

It is an arithmetic number, because the mean of its divisors is an integer number (5160270549200).

Almost surely, 2112211102011122 is an apocalyptic number.

112211102011122 is an abundant number, since it is smaller than the sum of its proper divisors (135481884350478).

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

112211102011122 is a wasteful number, since it uses less digits than its factorization.

112211102011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429128807 (or 429128804 counting only the distinct ones).

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

Adding to 112211102011122 its reverse (221110201112211), we get a palindrome (333321303123333).

It can be divided in two parts, 11 and 2211102011122, that multiplied together give a palindrome (24322122122342).

The spelling of 112211102011122 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 199 219 398 438 597 657 1194 1314 1791 3582 14527 29054 43581 87162 130743 261486 429128527 858257054 1287385581 2574771162 3862156743 7724313486 31326382471 62652764942 85396576873 93979147413 170793153746 187958294826 256189730619 281937442239 512379461238 563874884478 768569191857 1537138383714 6233950111729 12467900223458 18701850335187 37403700670374 56105551005561 112211102011122