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13024243134 = 2327129779697
BaseRepresentation
bin11000010000100111…
…00010110110111110
31020121200102002210100
430020103202312332
5203133201240014
65552214421530
7640516145220
oct141023426676
936550362710
1013024243134
115583933701
1226359618a6
1312c740c556
148b7a7a410
15513640009
hex3084e2dbe

13024243134 has 48 divisors (see below), whose sum is σ = 32275777248. Its totient is φ = 3718296576.

The previous prime is 13024243129. The next prime is 13024243151. The reversal of 13024243134 is 43134242031.

13024243134 is a `hidden beast` number, since 1 + 302 + 42 + 4 + 313 + 4 = 666.

13024243134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130242431342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13024243098 and 13024243107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 123574 + ... + 203270.

It is an arithmetic number, because the mean of its divisors is an integer number (672412026).

Almost surely, 213024243134 is an apocalyptic number.

13024243134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13024243134 is an abundant number, since it is smaller than the sum of its proper divisors (19251534114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13024243134 is a wasteful number, since it uses less digits than its factorization.

13024243134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81009 (or 81006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13024243134 its reverse (43134242031), we get a palindrome (56158485165).

The spelling of 13024243134 in words is "thirteen billion, twenty-four million, two hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1297 2594 3891 7782 9079 11673 18158 23346 27237 54474 79697 81711 159394 163422 239091 478182 557879 717273 1115758 1434546 1673637 3347274 5020911 10041822 103367009 206734018 310101027 620202054 723569063 930303081 1447138126 1860606162 2170707189 4341414378 6512121567 13024243134