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13130351 = 134383283
BaseRepresentation
bin110010000101…
…101001101111
3220201002110022
4302011221233
511330132401
61145232355
7216414623
oct62055157
926632408
1013130351
117459033
1244926bb
132949650
141a5b183
15124571b
hexc85a6f

13130351 has 16 divisors (see below), whose sum is σ = 14695296. Its totient is φ = 11654496.

The previous prime is 13130339. The next prime is 13130363. The reversal of 13130351 is 15303131.

It is an interprime number because it is at equal distance from previous prime (13130339) and next prime (13130363).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13130351 is a prime.

It is a super-2 number, since 2×131303512 = 344812234766402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130321) 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 15 ways as a sum of consecutive naturals, for example, 46256 + ... + 46538.

It is an arithmetic number, because the mean of its divisors is an integer number (918456).

Almost surely, 213130351 is an apocalyptic number.

13130351 is a deficient number, since it is larger than the sum of its proper divisors (1564945).

13130351 is a wasteful number, since it uses less digits than its factorization.

13130351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13130351 is about 3623.5826194527. The cubic root of 13130351 is about 235.9167510166.

Adding to 13130351 its reverse (15303131), we get a palindrome (28433482).

The spelling of 13130351 in words is "thirteen million, one hundred thirty thousand, three hundred fifty-one".

Divisors: 1 13 43 83 283 559 1079 3569 3679 12169 23489 46397 158197 305357 1010027 13130351