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13531054131 = 34723864293
BaseRepresentation
bin11001001101000001…
…11000000000110011
31021221000001202210000
430212200320000303
5210202422213011
610114401241043
7656212030260
oct144640700063
937830052700
1013531054131
115813a22271
122757633183
13137840a80a
149250c6267
15542da1356
hex326838033

13531054131 has 20 divisors (see below), whose sum is σ = 23100636592. Its totient is φ = 7732030608.

The previous prime is 13531054093. The next prime is 13531054139. The reversal of 13531054131 is 13145013531.

It is a happy number.

It is not a de Polignac number, because 13531054131 - 229 = 12994183219 is a prime.

It is a super-2 number, since 2×135310541312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13531054095 and 13531054104.

It is not an unprimeable number, because it can be changed into a prime (13531054139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11931580 + ... + 11932713.

Almost surely, 213531054131 is an apocalyptic number.

13531054131 is a deficient number, since it is larger than the sum of its proper divisors (9569582461).

13531054131 is an equidigital number, since it uses as much as digits as its factorization.

13531054131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864312 (or 23864303 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13531054131 its reverse (13145013531), we get a palindrome (26676067662).

The spelling of 13531054131 in words is "thirteen billion, five hundred thirty-one million, fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 23864293 71592879 167050051 214778637 501150153 644335911 1503450459 1933007733 4510351377 13531054131