Search a number
-
+
212323120113331 = 4111632074452013
BaseRepresentation
bin110000010001101101010100…
…001001101110011010110011
31000211202220002022012122012201
4300101231110021232122303
5210312200222222111311
62031323521141004031
762502560564065003
oct6021552411563263
91024686068178181
10212323120113331
116171a803062827
121b9917873b3617
139161ca4702ba6
143a606cb17c003
1519830292a79c1
hexc11b5426e6b3

212323120113331 has 8 divisors (see below), whose sum is σ = 217501968638304. Its totient is φ = 207144282818880.

The previous prime is 212323120113317. The next prime is 212323120113359. The reversal of 212323120113331 is 133311021323212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212323120113331 - 211 = 212323120111283 is a prime.

It is a super-3 number, since 3×2123231201133313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212323120113331.

It is not an unprimeable number, because it can be changed into a prime (212323120113371) 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 7 ways as a sum of consecutive naturals, for example, 45465481 + ... + 49917493.

It is an arithmetic number, because the mean of its divisors is an integer number (27187746079788).

Almost surely, 2212323120113331 is an apocalyptic number.

212323120113331 is a deficient number, since it is larger than the sum of its proper divisors (5178848524973).

212323120113331 is a wasteful number, since it uses less digits than its factorization.

212323120113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615261.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 212323120113331 its reverse (133311021323212), we get a palindrome (345634141436543).

The spelling of 212323120113331 in words is "two hundred twelve trillion, three hundred twenty-three billion, one hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 41 1163207 4452013 47691487 182532533 5178612685691 212323120113331