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13130505 = 355101107
BaseRepresentation
bin110010000101…
…101100001001
3220201002200000
4302011230021
511330134010
61145233213
7216415233
oct62055411
926632600
1013130505
117459163
124492809
13294973b
141a5b253
1512457c0
hexc85b09

13130505 has 48 divisors (see below), whose sum is σ = 24058944. Its totient is φ = 6868800.

The previous prime is 13130503. The next prime is 13130519. The reversal of 13130505 is 50503131.

It is a happy number.

13130505 is a `hidden beast` number, since 131 + 30 + 505 = 666.

It is not a de Polignac number, because 13130505 - 21 = 13130503 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13130503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122662 + ... + 122768.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 213130505 is an apocalyptic number.

13130505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13130505 is a deficient number, since it is larger than the sum of its proper divisors (10928439).

13130505 is a wasteful number, since it uses less digits than its factorization.

13130505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13130505 is about 3623.6038690784. The cubic root of 13130505 is about 235.9176733336.

Adding to 13130505 its reverse (50503131), we get a palindrome (63633636).

The spelling of 13130505 in words is "thirteen million, one hundred thirty thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 101 107 135 243 303 321 405 505 535 909 963 1215 1515 1605 2727 2889 4545 4815 8181 8667 10807 13635 14445 24543 26001 32421 40905 43335 54035 97263 122715 130005 162105 291789 486315 875367 1458945 2626101 4376835 13130505