Search a number
-
+
212120300011301 = 11601120677265883
BaseRepresentation
bin110000001110110000011011…
…001000011011111100100101
31000211001111120102101220222222
4300032300123020123330211
5210300334333300330201
62031050415350202125
762452120530500123
oct6016603310337445
91024044512356888
10212120300011301
11616517944341a0
121b95a403353345
139148b21068ab6
143a5496a722913
15197cb0847791b
hexc0ec1b21bf25

212120300011301 has 16 divisors (see below), whose sum is σ = 231791787718848. Its totient is φ = 192513457392000.

The previous prime is 212120300011261. The next prime is 212120300011313. The reversal of 212120300011301 is 103110003021212.

It is a cyclic number.

It is not a de Polignac number, because 212120300011301 - 238 = 211845422104357 is a prime.

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 212120300011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120300011601) 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 15 ways as a sum of consecutive naturals, for example, 797662706 + ... + 797928588.

It is an arithmetic number, because the mean of its divisors is an integer number (14486986732428).

Almost surely, 2212120300011301 is an apocalyptic number.

It is an amenable number.

212120300011301 is a deficient number, since it is larger than the sum of its proper divisors (19671487707547).

212120300011301 is a wasteful number, since it uses less digits than its factorization.

212120300011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387172.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212120300011301 its reverse (103110003021212), we get a palindrome (315230303032513).

The spelling of 212120300011301 in words is "two hundred twelve trillion, one hundred twenty billion, three hundred million, eleven thousand, three hundred one".

Divisors: 1 11 601 6611 120677 265883 1327447 2924713 72526877 159795683 797795647 1757752513 32085962791 352945590701 19283663637391 212120300011301