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13031130023 = 311736074003
BaseRepresentation
bin11000010001011011…
…10100001110100111
31020122011100222211022
430020231310032213
5203141432130043
65553022201355
7640631530502
oct141055641647
936564328738
1013031130023
11558780794a
12263812325b
1312c8981132
148b8950139
15514050868
hex308b743a7

13031130023 has 16 divisors (see below), whose sum is σ = 13554917376. Its totient is φ = 12514093920.

The previous prime is 13031130017. The next prime is 13031130041. The reversal of 13031130023 is 32003113031.

13031130023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13031130023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13031129983 and 13031130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031130223) 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 15 ways as a sum of consecutive naturals, for example, 3253340 + ... + 3257342.

It is an arithmetic number, because the mean of its divisors is an integer number (847182336).

Almost surely, 213031130023 is an apocalyptic number.

13031130023 is a deficient number, since it is larger than the sum of its proper divisors (523787353).

13031130023 is a wasteful number, since it uses less digits than its factorization.

13031130023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13031130023 its reverse (32003113031), we get a palindrome (45034243054).

The spelling of 13031130023 in words is "thirteen billion, thirty-one million, one hundred thirty thousand, twenty-three".

Divisors: 1 31 173 607 4003 5363 18817 105011 124093 692519 2429821 3255341 21468089 75324451 420359033 13031130023