Search a number
-
+
211310312213 = 71113216238401
BaseRepresentation
bin1100010011001100010…
…0110111101100010101
3202012102120122002001202
43010303010313230111
511430230414442323
6241024041202245
721160316006120
oct3046304675425
9665376562052
10211310312213
1181686187170
1234b53490385
1316c07615300
14a32828b3b7
15576b3acd28
hex3133137b15

211310312213 has 24 divisors (see below), whose sum is σ = 285276246336. Its totient is φ = 151991424000.

The previous prime is 211310312207. The next prime is 211310312267. The reversal of 211310312213 is 312213013112.

It is a happy number.

211310312213 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 211310312213 - 24 = 211310312197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310312293) 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, 8106188 + ... + 8132213.

It is an arithmetic number, because the mean of its divisors is an integer number (11886510264).

Almost surely, 2211310312213 is an apocalyptic number.

It is an amenable number.

211310312213 is a deficient number, since it is larger than the sum of its proper divisors (73965934123).

211310312213 is a wasteful number, since it uses less digits than its factorization.

211310312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238445 (or 16238432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211310312213 its reverse (312213013112), we get a palindrome (523523325325).

The spelling of 211310312213 in words is "two hundred eleven billion, three hundred ten million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 16238401 113668807 178622411 211099213 1250356877 1477694491 2322091343 2744289769 16254639401 19210028383 30187187459 211310312213