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13123132131 = 327539158843
BaseRepresentation
bin11000011100011001…
…10001101011100011
31020212120111011222210
430032030301223203
5203334010212011
610010110133203
7643126532304
oct141614615343
936776434883
1013123132131
11562473644a
122662ab1203
131311a54455
148c6c5c7ab
1551c1756a6
hex30e331ae3

13123132131 has 8 divisors (see below), whose sum is σ = 17498255040. Its totient is φ = 8748381992.

The previous prime is 13123132091. The next prime is 13123132157.

It is a happy number.

13123132131 is nontrivially palindromic in base 10.

13123132131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13123132131 - 218 = 13122869987 is a prime.

It is a super-2 number, since 2×131231321312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13123132098 and 13123132107.

It is not an unprimeable number, because it can be changed into a prime (13123132331) 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 7 ways as a sum of consecutive naturals, for example, 3196 + ... + 162038.

It is an arithmetic number, because the mean of its divisors is an integer number (2187281880).

Almost surely, 213123132131 is an apocalyptic number.

13123132131 is a deficient number, since it is larger than the sum of its proper divisors (4375122909).

13123132131 is a wasteful number, since it uses less digits than its factorization.

13123132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186385.

The product of its digits is 324, while the sum is 21.

The spelling of 13123132131 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 27539 82617 158843 476529 4374377377 13123132131