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13214253 = 31317191049
BaseRepresentation
bin110010011010…
…001000101101
3220212100112210
4302122020231
511340324003
61151121033
7220214343
oct62321055
926770483
1013214253
117506078
124513179
1329788b0
141a7d993
151260503
hexc9a22d

13214253 has 32 divisors (see below), whose sum is σ = 21168000. Its totient is φ = 7243776.

The previous prime is 13214249. The next prime is 13214261. The reversal of 13214253 is 35241231.

It is not a de Polignac number, because 13214253 - 22 = 13214249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12073 + ... + 13121.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 213214253 is an apocalyptic number.

13214253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13214253 is a deficient number, since it is larger than the sum of its proper divisors (7953747).

13214253 is a wasteful number, since it uses less digits than its factorization.

13214253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101.

The product of its digits is 720, while the sum is 21.

The square root of 13214253 is about 3635.1414002759. The cubic root of 13214253 is about 236.4181815260.

Adding to 13214253 its reverse (35241231), we get a palindrome (48455484).

The spelling of 13214253 in words is "thirteen million, two hundred fourteen thousand, two hundred fifty-three".

Divisors: 1 3 13 17 19 39 51 57 221 247 323 663 741 969 1049 3147 4199 12597 13637 17833 19931 40911 53499 59793 231829 259103 338827 695487 777309 1016481 4404751 13214253