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13131352 = 2313314073
BaseRepresentation
bin110010000101…
…111001011000
3220201010211101
4302011321120
511330200402
61145241144
7216420553
oct62057130
926633741
1013131352
117459863
1244931b4
132949c40
141a5b69a
151245b87
hexc85e58

13131352 has 32 divisors (see below), whose sum is σ = 27377280. Its totient is φ = 5863680.

The previous prime is 13131343. The next prime is 13131359. The reversal of 13131352 is 25313131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131359) 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 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 5260.

It is an arithmetic number, because the mean of its divisors is an integer number (855540).

Almost surely, 213131352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688640).

13131352 is an abundant number, since it is smaller than the sum of its proper divisors (14245928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131352 is a wasteful number, since it uses less digits than its factorization.

13131352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4119 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 13131352 is about 3623.7207397922. The cubic root of 13131352 is about 235.9227459481.

Adding to 13131352 its reverse (25313131), we get a palindrome (38444483).

The spelling of 13131352 in words is "thirteen million, one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 4073 8146 16292 32584 52949 105898 126263 211796 252526 423592 505052 1010104 1641419 3282838 6565676 13131352