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13000351 = 7131973103
BaseRepresentation
bin110001100101…
…111010011111
3220110111010111
4301211322133
511312002401
61142350451
7215333620
oct61457237
926414114
1013000351
11737a3a1
12442b427
132902420
141a25a47
15121be51
hexc65e9f

13000351 has 32 divisors (see below), whose sum is σ = 17239040. Its totient is φ = 9517824.

The previous prime is 13000349. The next prime is 13000367. The reversal of 13000351 is 15300031.

It is a cyclic number.

It is not a de Polignac number, because 13000351 - 21 = 13000349 is a prime.

It is a super-2 number, since 2×130003512 = 338018252246402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

13000351 is a modest number, since divided by 351 gives 13 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126166 + ... + 126268.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 213000351 is an apocalyptic number.

13000351 is a deficient number, since it is larger than the sum of its proper divisors (4238689).

13000351 is a wasteful number, since it uses less digits than its factorization.

13000351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13000351 is about 3605.5999500777. The cubic root of 13000351 is about 235.1355849542.

Adding to 13000351 its reverse (15300031), we get a palindrome (28300382).

The spelling of 13000351 in words is "thirteen million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 7 13 19 73 91 103 133 247 511 721 949 1339 1387 1729 1957 6643 7519 9373 9709 13699 18031 25441 52633 97747 126217 142861 178087 684229 1000027 1857193 13000351