Search a number
-
+
13531142131 = 134373238019
BaseRepresentation
bin11001001101000010…
…01101011111110011
31021221000020020111021
430212201031133303
5210202433022011
610114403200311
7656212544653
oct144641153763
937830206437
1013531142131
115813a823a1
122757676097
13137843b8a0
1492510a363
15542dbc471
hex32684d7f3

13531142131 has 8 divisors (see below), whose sum is σ = 14575392720. Its totient is φ = 12487376352.

The previous prime is 13531142117. The next prime is 13531142143. The reversal of 13531142131 is 13124113531.

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 13531142131 - 211 = 13531140083 is a prime.

It is a super-2 number, since 2×135311421312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13531142096 and 13531142105.

It is not an unprimeable number, because it can be changed into a prime (13531142731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62161 + ... + 175858.

It is an arithmetic number, because the mean of its divisors is an integer number (1821924090).

Almost surely, 213531142131 is an apocalyptic number.

13531142131 is a deficient number, since it is larger than the sum of its proper divisors (1044250589).

13531142131 is a wasteful number, since it uses less digits than its factorization.

13531142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242405.

The product of its digits is 1080, while the sum is 25.

Adding to 13531142131 its reverse (13124113531), we get a palindrome (26655255662).

The spelling of 13531142131 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 13 4373 56849 238019 3094247 1040857087 13531142131