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13130511 = 317793259
BaseRepresentation
bin110010000101…
…101100001111
3220201002200020
4302011230033
511330134021
61145233223
7216415242
oct62055417
926632606
1013130511
117459169
124492813
132949744
141a5b259
1512457c6
hexc85b0f

13130511 has 16 divisors (see below), whose sum is σ = 18777600. Its totient is φ = 8131968.

The previous prime is 13130503. The next prime is 13130519. The reversal of 13130511 is 11503131.

13130511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13130503) and next prime (13130519).

It is not a de Polignac number, because 13130511 - 23 = 13130503 is a prime.

It is a super-2 number, since 2×131305112 = 344820638242242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400 + ... + 5658.

It is an arithmetic number, because the mean of its divisors is an integer number (1173600).

Almost surely, 213130511 is an apocalyptic number.

13130511 is a deficient number, since it is larger than the sum of its proper divisors (5647089).

13130511 is a wasteful number, since it uses less digits than its factorization.

13130511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 13130511 is about 3623.6046969834. The cubic root of 13130511 is about 235.9177092679.

Adding to 13130511 its reverse (11503131), we get a palindrome (24633642).

The spelling of 13130511 in words is "thirteen million, one hundred thirty thousand, five hundred eleven".

Divisors: 1 3 17 51 79 237 1343 3259 4029 9777 55403 166209 257461 772383 4376837 13130511