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213013323 = 32291914273
BaseRepresentation
bin11001011001001…
…01001101001011
3112211211012100100
430230211031023
5414012411243
633045340443
75164404045
oct1454451513
9484735310
10213013323
11aa271076
125b407723
13351925b3
142040ca95
1513a7a0d3
hexcb2534b

213013323 has 24 divisors (see below), whose sum is σ = 320037120. Its totient is φ = 136362240.

The previous prime is 213013303. The next prime is 213013337. The reversal of 213013323 is 323310312.

213013323 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 213013323 - 210 = 213012299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213013296 and 213013305.

It is not an unprimeable number, because it can be changed into a prime (213013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47715 + ... + 51987.

It is an arithmetic number, because the mean of its divisors is an integer number (13334880).

Almost surely, 2213013323 is an apocalyptic number.

213013323 is a deficient number, since it is larger than the sum of its proper divisors (107023797).

213013323 is a wasteful number, since it uses less digits than its factorization.

213013323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213013323 is about 14594.9759506482. The cubic root of 213013323 is about 597.2217133960.

Adding to 213013323 its reverse (323310312), we get a palindrome (536323635).

The spelling of 213013323 in words is "two hundred thirteen million, thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 29 87 191 261 573 1719 4273 5539 12819 16617 38457 49851 123917 371751 816143 1115253 2448429 7345287 23668147 71004441 213013323