Search a number
-
+
13135853131 = 17245452779
BaseRepresentation
bin11000011101111010…
…10011011001001011
31020220110102110220221
430032331103121023
5203400234300011
610011242530511
7643342623622
oct141675233113
936813373827
1013135853131
115630934975
122667206a37
13131458967b
148c88106b9
1551d339971
hex30ef5364b

13135853131 has 6 divisors (see below), whose sum is σ = 13954003460. Its totient is φ = 12363155616.

The previous prime is 13135853123. The next prime is 13135853149.

13135853131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13135853131 - 23 = 13135853123 is a prime.

It is a super-2 number, since 2×131358531312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13135853191) 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 5 ways as a sum of consecutive naturals, for example, 22726101 + ... + 22726678.

Almost surely, 213135853131 is an apocalyptic number.

13135853131 is a deficient number, since it is larger than the sum of its proper divisors (818150329).

13135853131 is an equidigital number, since it uses as much as digits as its factorization.

13135853131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45452813 (or 45452796 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The spelling of 13135853131 in words is "thirteen billion, one hundred thirty-five million, eight hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 17 289 45452779 772697243 13135853131