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51310013 = 192891597
BaseRepresentation
bin1100001110111…
…0110110111101
310120112211002212
43003232312331
5101113410023
65031430205
71162061606
oct303566675
9116484085
1051310013
1126a65a77
1215225365
13a826771
146b58dad
154787e78
hex30eedbd

51310013 has 12 divisors (see below), whose sum is σ = 54795420. Its totient is φ = 48033216.

The previous prime is 51310003. The next prime is 51310027. The reversal of 51310013 is 31001315.

It can be written as a sum of positive squares in 2 ways, for example, as 10067929 + 41242084 = 3173^2 + 6422^2 .

It is not a de Polignac number, because 51310013 - 210 = 51308989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31331 + ... + 32927.

It is an arithmetic number, because the mean of its divisors is an integer number (4566285).

Almost surely, 251310013 is an apocalyptic number.

It is an amenable number.

51310013 is a deficient number, since it is larger than the sum of its proper divisors (3485407).

51310013 is a wasteful number, since it uses less digits than its factorization.

51310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 51310013 is about 7163.1007950468. The cubic root of 51310013 is about 371.5928722181.

Adding to 51310013 its reverse (31001315), we get a palindrome (82311328).

The spelling of 51310013 in words is "fifty-one million, three hundred ten thousand, thirteen".

Divisors: 1 19 89 361 1597 1691 30343 32129 142133 576517 2700527 51310013