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213023013 = 3789293389
BaseRepresentation
bin11001011001001…
…11100100100101
3112211211200122020
430230213210211
5414013214023
633045453353
75164444230
oct1454474445
9484750566
10213023013
11aa278385
125b411259
1335196b28
1420412417
1513a7cde3
hexcb27925

213023013 has 32 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 119640576.

The previous prime is 213022991. The next prime is 213023051. The reversal of 213023013 is 310320312.

213023013 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 213023013 - 29 = 213022501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213022983 and 213023001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547423 + ... + 547811.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2213023013 is an apocalyptic number.

It is an amenable number.

213023013 is a deficient number, since it is larger than the sum of its proper divisors (117197787).

213023013 is a wasteful number, since it uses less digits than its factorization.

213023013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213023013 is about 14595.3079104211. The cubic root of 213023013 is about 597.2307691529.

Adding to 213023013 its reverse (310320312), we get a palindrome (523343325).

The spelling of 213023013 in words is "two hundred thirteen million, twenty-three thousand, thirteen".

Divisors: 1 3 7 21 89 267 293 389 623 879 1167 1869 2051 2723 6153 8169 26077 34621 78231 103863 113977 182539 242347 341931 547617 727041 797839 2393517 10143953 30431859 71007671 213023013