Search a number
-
+
111211243420032 = 2732769119958143
BaseRepresentation
bin11001010010010101100010…
…101010001011100110000000
3112120202200122202201210211200
4121102111202222023212000
5104034041111303420112
61032305423453541200
732265514166644050
oct3122254252134600
9476680582653750
10111211243420032
1132487472704158
12105815984a4800
134a09238061212
141d6691d7c1560
15ccccd6521cdc
hex652562a8b980

111211243420032 has 192 divisors, whose sum is σ = 366268665384960. Its totient is φ = 31728655825920.

The previous prime is 111211243419979. The next prime is 111211243420037. The reversal of 111211243420032 is 230024342112111.

111211243420032 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 1 + 2 + 434 + 200 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1112112434200322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111211243419978 and 111211243420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211243420037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4406848 + ... + 15551295.

It is an arithmetic number, because the mean of its divisors is an integer number (1907649298880).

Almost surely, 2111211243420032 is an apocalyptic number.

111211243420032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111211243420032 is an abundant number, since it is smaller than the sum of its proper divisors (255057421964928).

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

111211243420032 is a wasteful number, since it uses less digits than its factorization.

111211243420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958861 (or 19958846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111211243420032 its reverse (230024342112111), we get a palindrome (341235585532143).

The spelling of 111211243420032 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred forty-three million, four hundred twenty thousand, thirty-two".