Search a number
-
+
13002310200113 = 1328331133733721
BaseRepresentation
bin1011110100110101011000…
…0101001010101100110001
31201001000020100112212001122
42331031112011022230301
53201012212402400423
643353102344112025
72511246240104603
oct275152605125461
951030210485048
1013002310200113
114163281158293
12155bb27465615
13734160492230
1432d45ab8b173
151783473c08c8
hexbd35614ab31

13002310200113 has 32 divisors (see below), whose sum is σ = 14139400434432. Its totient is φ = 11885539276800.

The previous prime is 13002310200049. The next prime is 13002310200149. The reversal of 13002310200113 is 31100201320031.

13002310200113 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 not a de Polignac number, because 13002310200113 - 26 = 13002310200049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002310200091 and 13002310200100.

It is not an unprimeable number, because it can be changed into a prime (13002310202113) 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, 385568093 + ... + 385601813.

It is an arithmetic number, because the mean of its divisors is an integer number (441856263576).

Almost surely, 213002310200113 is an apocalyptic number.

13002310200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13002310200113 is a deficient number, since it is larger than the sum of its proper divisors (1137090234319).

13002310200113 is a wasteful number, since it uses less digits than its factorization.

13002310200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34665.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13002310200113 its reverse (31100201320031), we get a palindrome (44102511520144).

The spelling of 13002310200113 in words is "thirteen trillion, two billion, three hundred ten million, two hundred thousand, one hundred thirteen".

Divisors: 1 13 283 311 337 3679 4043 4381 33721 88013 95371 104807 438373 1144169 1239823 1362491 9543043 10487231 11363977 29660381 124059559 136334003 147731701 385584953 2967886373 3216005491 3534196847 38582522849 41808071383 45944559011 1000177707701 13002310200113