Search a number
-
+
13131310 = 251777243
BaseRepresentation
bin110010000101…
…111000101110
3220201010202211
4302011320232
511330200220
61145241034
7216420463
oct62057056
926633684
1013131310
117459825
12449317a
132949c0a
141a5b66a
151245b5a
hexc85e2e

13131310 has 16 divisors (see below), whose sum is σ = 25027056. Its totient is φ = 4943488.

The previous prime is 13131281. The next prime is 13131317. The reversal of 13131310 is 1313131.

It is a happy number.

13131310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131313102 = 344862604632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131317) 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, 38452 + ... + 38791.

It is an arithmetic number, because the mean of its divisors is an integer number (1564191).

Almost surely, 213131310 is an apocalyptic number.

13131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131310 is a deficient number, since it is larger than the sum of its proper divisors (11895746).

13131310 is a wasteful number, since it uses less digits than its factorization.

13131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77267.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13131310 is about 3623.7149446390. The cubic root of 13131310 is about 235.9224944187.

Adding to 13131310 its reverse (1313131), we get a palindrome (14444441).

The spelling of 13131310 in words is "thirteen million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 17 34 85 170 77243 154486 386215 772430 1313131 2626262 6565655 13131310