Search a number
-
+
213013132011 = 32101389602411
BaseRepresentation
bin1100011001100010010…
…0100111001011101011
3202100211020210021200200
43012120210213023223
511442222330211021
6241505030403243
721250443514251
oct3063044471353
9670736707620
10213013132011
118237a3a5959
1235349800523
131711933b1a4
14a44a4a85d1
15581ab1c126
hex31989272eb

213013132011 has 24 divisors (see below), whose sum is σ = 311531341680. Its totient is φ = 140241048000.

The previous prime is 213013132001. The next prime is 213013132021. The reversal of 213013132011 is 110231310312.

213013132011 is a `hidden beast` number, since 2 + 1 + 301 + 31 + 320 + 11 = 666.

213013132011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213013132001) and next prime (213013132021).

It is not a de Polignac number, because 213013132011 - 25 = 213013131979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213013132001) 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, 52396 + ... + 654806.

It is an arithmetic number, because the mean of its divisors is an integer number (12980472570).

Almost surely, 2213013132011 is an apocalyptic number.

213013132011 is a deficient number, since it is larger than the sum of its proper divisors (98518209669).

213013132011 is a wasteful number, since it uses less digits than its factorization.

213013132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602907 (or 602904 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213013132011 its reverse (110231310312), we get a palindrome (323244442323).

The spelling of 213013132011 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, eleven".

Divisors: 1 3 9 101 303 389 909 1167 3501 39289 117867 353601 602411 1807233 5421699 60843511 182530533 234337879 547591599 703013637 2109040911 23668125779 71004377337 213013132011