Search a number
-
+
13242031 = 1117193727
BaseRepresentation
bin110010100000…
…111010101111
3220220202122121
4302200322233
511342221111
61151453411
7220361335
oct62407257
926822577
1013242031
117524a30
124527267
13298842a
141a89b55
151268871
hexca0eaf

13242031 has 16 divisors (see below), whose sum is σ = 16104960. Its totient is φ = 10730880.

The previous prime is 13242029. The next prime is 13242037. The reversal of 13242031 is 13024231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13242031 - 21 = 13242029 is a prime.

It is a super-2 number, since 2×132420312 = 350702770009922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13241996 and 13242014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 5416.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560).

Almost surely, 213242031 is an apocalyptic number.

13242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13242031 is a deficient number, since it is larger than the sum of its proper divisors (2862929).

13242031 is a wasteful number, since it uses less digits than its factorization.

13242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13242031 is about 3638.9601536703. The cubic root of 13242031 is about 236.5837257028.

Adding to 13242031 its reverse (13024231), we get a palindrome (26266262).

The spelling of 13242031 in words is "thirteen million, two hundred forty-two thousand, thirty-one".

Divisors: 1 11 17 19 187 209 323 3553 3727 40997 63359 70813 696949 778943 1203821 13242031