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13101104232 = 2332181959781
BaseRepresentation
bin11000011001110001…
…01111110001101000
31020211001001001101200
430030320233301220
5203312340313412
610004002044200
7642441356106
oct141470576150
936731031350
1013101104232
115613260577
122657649660
13130a310ca8
148c3d66c76
1551a2739dc
hex30ce2fc68

13101104232 has 24 divisors (see below), whose sum is σ = 35482157490. Its totient is φ = 4367034720.

The previous prime is 13101104231. The next prime is 13101104243. The reversal of 13101104232 is 23240110131.

13101104232 is a `hidden beast` number, since 131 + 0 + 110 + 423 + 2 = 666.

13101104232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8349207876 + 4751896356 = 91374^2 + 68934^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (13101104231) 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 5 ways as a sum of consecutive naturals, for example, 90979819 + ... + 90979962.

Almost surely, 213101104232 is an apocalyptic number.

13101104232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101104232 is an abundant number, since it is smaller than the sum of its proper divisors (22381053258).

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

13101104232 is a wasteful number, since it uses less digits than its factorization.

13101104232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181959793 (or 181959786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101104232 its reverse (23240110131), we get a palindrome (36341214363).

The spelling of 13101104232 in words is "thirteen billion, one hundred one million, one hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181959781 363919562 545879343 727839124 1091758686 1455678248 1637638029 2183517372 3275276058 4367034744 6550552116 13101104232