Search a number
-
+
13024003032 = 23321131600787
BaseRepresentation
bin11000010000100101…
…01000001111011000
31020121122221220102200
430020102220033120
5203133121044112
65552205330200
7640514125215
oct141022501730
936548856380
1013024003032
11558378a277
122635866960
1312c7357191
148b7a16b0c
155135e3cdc
hex3084a83d8

13024003032 has 48 divisors (see below), whose sum is σ = 35585517240. Its totient is φ = 4302912768.

The previous prime is 13024003021. The next prime is 13024003043. The reversal of 13024003032 is 23030042031.

It is an interprime number because it is at equal distance from previous prime (13024003021) and next prime (13024003043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13024002996 and 13024003014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792258 + ... + 808529.

Almost surely, 213024003032 is an apocalyptic number.

13024003032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13024003032 is an abundant number, since it is smaller than the sum of its proper divisors (22561514208).

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

13024003032 is a wasteful number, since it uses less digits than its factorization.

13024003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600912 (or 1600905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13024003032 its reverse (23030042031), we get a palindrome (36054045063).

The spelling of 13024003032 in words is "thirteen billion, twenty-four million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 1600787 3201574 4802361 6403148 9604722 12806296 14407083 19209444 28814166 38418888 57628332 115256664 180888931 361777862 542666793 723555724 1085333586 1447111448 1628000379 2170667172 3256000758 4341334344 6512001516 13024003032