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13525142141 = 721282121529
BaseRepresentation
bin11001001100010100…
…10100101001111101
31021220120221102001102
430212022110221331
5210144414022031
610114030422445
7656110545200
oct144612245175
937816842042
1013525142141
115810654525
122755661a25
13137711a8b4
149243c7937
155425d47cb
hex326294a7d

13525142141 has 12 divisors (see below), whose sum is σ = 15735286620. Its totient is φ = 11591536320.

The previous prime is 13525142093. The next prime is 13525142207. The reversal of 13525142141 is 14124152531.

It is a happy number.

13525142141 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 2 ways, for example, as 1400930041 + 12124212100 = 37429^2 + 110110^2 .

It is a de Polignac number, because none of the positive numbers 2k-13525142141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525112141) 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 11 ways as a sum of consecutive naturals, for example, 617465 + ... + 638993.

It is an arithmetic number, because the mean of its divisors is an integer number (1311273885).

Almost surely, 213525142141 is an apocalyptic number.

It is an amenable number.

13525142141 is a deficient number, since it is larger than the sum of its proper divisors (2210144479).

13525142141 is a wasteful number, since it uses less digits than its factorization.

13525142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34364 (or 34357 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

Adding to 13525142141 its reverse (14124152531), we get a palindrome (27649294672).

The spelling of 13525142141 in words is "thirteen billion, five hundred twenty-five million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 7 49 12821 21529 89747 150703 628229 1054921 276023309 1932163163 13525142141