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13212213 = 372172311
BaseRepresentation
bin110010011001…
…101000110101
3220212020202020
4302121220311
511340242323
61151103353
7220205400
oct62315065
926766666
1013212213
117504593
124511b59
1329779a1
141a7cd37
15125eae3
hexc99a35

13212213 has 36 divisors (see below), whose sum is σ = 21838752. Its totient is φ = 7082880.

The previous prime is 13212181. The next prime is 13212229. The reversal of 13212213 is 31221231.

13212213 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 13212213 - 25 = 13212181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13212192 and 13212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42328 + ... + 42638.

It is an arithmetic number, because the mean of its divisors is an integer number (606632).

Almost surely, 213212213 is an apocalyptic number.

It is an amenable number.

13212213 is a deficient number, since it is larger than the sum of its proper divisors (8626539).

13212213 is a wasteful number, since it uses less digits than its factorization.

13212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13212213 is about 3634.8607951337. The cubic root of 13212213 is about 236.4060149179.

Adding to 13212213 its reverse (31221231), we get a palindrome (44433444).

It can be divided in two parts, 13 and 212213, that added together give a triangular number (212226 = T651).

The spelling of 13212213 in words is "thirteen million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 7 17 21 49 51 119 147 289 311 357 833 867 933 2023 2177 2499 5287 6069 6531 14161 15239 15861 37009 42483 45717 89879 111027 259063 269637 629153 777189 1887459 4404071 13212213