Search a number
-
+
13130031 = 310940153
BaseRepresentation
bin110010000101…
…100100101111
3220201002000110
4302011210233
511330130111
61145231103
7216413655
oct62054457
926632013
1013130031
117458872
124492493
132949465
141a5add5
1512455a6
hexc8592f

13130031 has 8 divisors (see below), whose sum is σ = 17667760. Its totient is φ = 8672832.

The previous prime is 13130027. The next prime is 13130053. The reversal of 13130031 is 13003131.

13130031 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13130031 - 22 = 13130027 is a prime.

It is a super-2 number, since 2×131300312 = 344795428121922, 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 = 13129989 and 13130016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130071) 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, 19750 + ... + 20403.

It is an arithmetic number, because the mean of its divisors is an integer number (2208470).

Almost surely, 213130031 is an apocalyptic number.

13130031 is a deficient number, since it is larger than the sum of its proper divisors (4537729).

13130031 is a wasteful number, since it uses less digits than its factorization.

13130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40265.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13130031 is about 3623.5384639879. The cubic root of 13130031 is about 235.9148344907.

Adding to 13130031 its reverse (13003131), we get a palindrome (26133162).

The spelling of 13130031 in words is "thirteen million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 109 327 40153 120459 4376677 13130031