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13013012103 = 3713197241963
BaseRepresentation
bin11000001111010001…
…01100111010000111
31020120220021111201020
430013220230322013
5203122312341403
65551134002223
7640321530540
oct140750547207
936526244636
1013013012103
115578562663
122632046373
1312c4ca9580
148b63954c7
15512672453
hex307a2ce87

13013012103 has 32 divisors (see below), whose sum is σ = 21463174656. Its totient is φ = 6829135488.

The previous prime is 13013012053. The next prime is 13013012119. The reversal of 13013012103 is 30121031031.

13013012103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13013012103 - 217 = 13012881031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013012123) 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 31 ways as a sum of consecutive naturals, for example, 67201 + ... + 174762.

It is an arithmetic number, because the mean of its divisors is an integer number (670724208).

Almost surely, 213013012103 is an apocalyptic number.

13013012103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13013012103 is a deficient number, since it is larger than the sum of its proper divisors (8450162553).

13013012103 is a wasteful number, since it uses less digits than its factorization.

13013012103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242183.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13013012103 its reverse (30121031031), we get a palindrome (43134043134).

The spelling of 13013012103 in words is "thirteen billion, thirteen million, twelve thousand, one hundred three".

Divisors: 1 3 7 13 21 39 91 197 273 591 1379 2561 4137 7683 17927 53781 241963 725889 1693741 3145519 5081223 9436557 22018633 47666711 66055899 143000133 333666977 619667243 1001000931 1859001729 4337670701 13013012103