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13130971 = 72893011
BaseRepresentation
bin110010000101…
…110011011011
3220201010022021
4302011303123
511330142341
61145235311
7216416500
oct62056333
926633267
1013130971
117459547
124492b37
132949a09
141a5b4a7
1512459d1
hexc85cdb

13130971 has 12 divisors (see below), whose sum is σ = 15451560. Its totient is φ = 11124960.

The previous prime is 13130969. The next prime is 13130977. The reversal of 13130971 is 17903131.

13130971 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 13130971 - 21 = 13130969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2856 + ... + 5866.

It is an arithmetic number, because the mean of its divisors is an integer number (1287630).

Almost surely, 213130971 is an apocalyptic number.

13130971 is a deficient number, since it is larger than the sum of its proper divisors (2320589).

13130971 is an equidigital number, since it uses as much as digits as its factorization.

13130971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 13130971 is about 3623.6681691347. The cubic root of 13130971 is about 235.9204641969.

The spelling of 13130971 in words is "thirteen million, one hundred thirty thousand, nine hundred seventy-one".

Divisors: 1 7 49 89 623 3011 4361 21077 147539 267979 1875853 13130971