Search a number
-
+
213213133323 = 32172431906361
BaseRepresentation
bin1100011010010001111…
…1100011101000001011
3202101100012010101220200
43012210133203220023
511443130030231243
6241540533223243
721255422505411
oct3064437435013
9671305111820
10213213133323
11824722898a3
12353a4791b23
131714b8c5c68
14a468c8b2b1
15582d476ad3
hex31a47e3a0b

213213133323 has 36 divisors (see below), whose sum is σ = 334764792648. Its totient is φ = 130669539840.

The previous prime is 213213133229. The next prime is 213213133337. The reversal of 213213133323 is 323331312312.

213213133323 is a `hidden beast` number, since 2 + 1 + 3 + 21 + 313 + 3 + 323 = 666.

213213133323 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 213213133323 - 229 = 212676262411 is a prime.

It is a super-2 number, since 2×2132131333232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213213133723) 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 35 ways as a sum of consecutive naturals, for example, 841338 + ... + 1065023.

It is an arithmetic number, because the mean of its divisors is an integer number (9299022018).

Almost surely, 2213213133323 is an apocalyptic number.

213213133323 is a deficient number, since it is larger than the sum of its proper divisors (121551659325).

213213133323 is a wasteful number, since it uses less digits than its factorization.

213213133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906444 (or 1906424 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 213213133323 its reverse (323331312312), we get a palindrome (536544445635).

The spelling of 213213133323 in words is "two hundred thirteen billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 17 43 51 129 153 289 387 731 867 2193 2601 6579 12427 37281 111843 1906361 5719083 17157249 32408137 81973523 97224411 245920569 291673233 550938329 737761707 1393549891 1652814987 4180649673 4958444961 12541949019 23690348147 71071044441 213213133323