Search a number
-
+
13031213 = 134212381
BaseRepresentation
bin110001101101…
…011100101101
3220112001110112
4301231130231
511313444323
61143145405
7215522606
oct61553455
926461415
1013031213
1173a05a8
124445265
1329134a0
141a32dad
151226178
hexc6d72d

13031213 has 8 divisors (see below), whose sum is σ = 14072856. Its totient is φ = 11995200.

The previous prime is 13031201. The next prime is 13031233. The reversal of 13031213 is 31213031.

It can be written as a sum of positive squares in 4 ways, for example, as 3433609 + 9597604 = 1853^2 + 3098^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13031213 - 210 = 13030189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4283 + ... + 6663.

It is an arithmetic number, because the mean of its divisors is an integer number (1759107).

Almost surely, 213031213 is an apocalyptic number.

13031213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031213 is a deficient number, since it is larger than the sum of its proper divisors (1041643).

13031213 is a wasteful number, since it uses less digits than its factorization.

13031213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13031213 is about 3609.8771447239. The cubic root of 13031213 is about 235.3215035146.

Adding to 13031213 its reverse (31213031), we get a palindrome (44244244).

The spelling of 13031213 in words is "thirteen million, thirty-one thousand, two hundred thirteen".

Divisors: 1 13 421 2381 5473 30953 1002401 13031213