Search a number
-
+
212011323333201 = 3375092203837001
BaseRepresentation
bin110000001101001010111011…
…100111011001101001010001
31000210200002021122120002101000
4300031022323213121221101
5210242043142233130301
62030524353553532213
762441212143143340
oct6015127347315121
91023602248502330
10212011323333201
116160a551996a67
121b94126b274069
13913b774883512
143a4d58d3dbb57
151979d7b11b786
hexc0d2bb9d9a51

212011323333201 has 32 divisors (see below), whose sum is σ = 359666198726400. Its totient is φ = 120911313168000.

The previous prime is 212011323333151. The next prime is 212011323333289. The reversal of 212011323333201 is 102333323110212.

212011323333201 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 1 + 3 + 2 + 333 + 320 + 1 = 666.

212011323333201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212011323333201 - 211 = 212011323331153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212011423333201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101822300 + ... + 1102014701.

It is an arithmetic number, because the mean of its divisors is an integer number (11239568710200).

Almost surely, 2212011323333201 is an apocalyptic number.

212011323333201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212011323333201 is a deficient number, since it is larger than the sum of its proper divisors (147654875393199).

212011323333201 is a wasteful number, since it uses less digits than its factorization.

212011323333201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203837526 (or 2203837520 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212011323333201 its reverse (102333323110212), we get a palindrome (314344646443413).

The spelling of 212011323333201 in words is "two hundred twelve trillion, eleven billion, three hundred twenty-three million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 509 1527 3563 4581 10689 13743 32067 96201 2203837001 6611511003 15426859007 19834533009 46280577021 59503599027 138841731063 416525193189 1121753033509 3365259100527 7852271234563 10095777301581 23556813703689 30287331904743 70670441111067 212011323333201