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13113012132 = 22331161180949
BaseRepresentation
bin11000011011001100…
…01010111110100100
31020211212110000222000
430031212022332210
5203323412342012
610005105205300
7642644523033
oct141546127644
936755400860
1013113012132
115619a54110
12265b630830
13130c92009c
148c578671a
1551b326ddc
hex30d98afa4

13113012132 has 96 divisors (see below), whose sum is σ = 37695504000. Its totient is φ = 3908476800.

The previous prime is 13113012113. The next prime is 13113012139. The reversal of 13113012132 is 23121031131.

13113012132 is a `hidden beast` number, since 1 + 311 + 301 + 21 + 32 = 666.

13113012132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13113012139) 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, 18007 + ... + 162942.

It is an arithmetic number, because the mean of its divisors is an integer number (392661500).

Almost surely, 213113012132 is an apocalyptic number.

13113012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847752000).

13113012132 is an abundant number, since it is smaller than the sum of its proper divisors (24582491868).

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

13113012132 is a wasteful number, since it uses less digits than its factorization.

13113012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181034 (or 181026 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13113012132 its reverse (23121031131), we get a palindrome (36234043263).

The spelling of 13113012132 in words is "thirteen billion, one hundred thirteen million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468 180949 361898 542847 723796 1085694 1628541 1990439 2171388 3257082 3980878 4885623 5971317 6514164 7961756 9771246 11037889 11942634 17913951 19542492 22075778 23885268 33113667 35827902 44151556 53741853 66227334 71655804 99341001 107483706 121416779 132454668 198682002 214967412 242833558 298023003 364250337 397364004 485667116 596046006 728500674 1092751011 1192092012 1457001348 2185502022 3278253033 4371004044 6556506066 13113012132