Search a number
-
+
112122200212331 = 3495772671208457
BaseRepresentation
bin11001011111100101111011…
…111010100100001101101011
3112200222202222220122121111012
4121133211323322210031223
5104144002231223243311
61034244121103254135
732421363433632341
oct3137457372441553
9480882886577435
10112122200212331
11327a88380001a1
12106aa049baa34b
134a741027c707a
141d98a5a02b991
15ce685090578b
hex65f97bea436b

112122200212331 has 16 divisors (see below), whose sum is σ = 112681054684800. Its totient is φ = 111564850728960.

The previous prime is 112122200212327. The next prime is 112122200212439. The reversal of 112122200212331 is 133212002221211.

It is a cyclic number.

It is not a de Polignac number, because 112122200212331 - 22 = 112122200212327 is a prime.

It is a super-2 number, since 2×1121222002123312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112122200212297 and 112122200212306.

It is not an unprimeable number, because it can be changed into a prime (112122200214331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537763055 + ... + 537971511.

It is an arithmetic number, because the mean of its divisors is an integer number (7042565917800).

Almost surely, 2112122200212331 is an apocalyptic number.

112122200212331 is a deficient number, since it is larger than the sum of its proper divisors (558854472469).

112122200212331 is a wasteful number, since it uses less digits than its factorization.

112122200212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212054.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 112122200212331 its reverse (133212002221211), we get a palindrome (245334202433542).

The spelling of 112122200212331 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 349 577 2671 201373 208457 932179 1541167 72751493 120279689 537867283 556788647 41977611461 194319237803 321267049319 112122200212331