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13523135431 = 1310310099429
BaseRepresentation
bin11001001100000101…
…01010101111000111
31021220110011110100211
430212002222233013
5210143410313211
610113515420251
7656054516551
oct144602525707
937813143324
1013523135431
11580a503893
122754a54687
1313768973b0
149240244d1
15542339e21
hex3260aabc7

13523135431 has 8 divisors (see below), whose sum is σ = 14704770080. Its totient is φ = 12361699872.

The previous prime is 13523135429. The next prime is 13523135443. The reversal of 13523135431 is 13453132531.

It is a happy number.

13523135431 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 13523135431 - 21 = 13523135429 is a prime.

It is a super-2 number, since 2×135231354312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13523135393 and 13523135402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523135491) 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, 5048376 + ... + 5051053.

It is an arithmetic number, because the mean of its divisors is an integer number (1838096260).

Almost surely, 213523135431 is an apocalyptic number.

13523135431 is a deficient number, since it is larger than the sum of its proper divisors (1181634649).

13523135431 is a wasteful number, since it uses less digits than its factorization.

13523135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099545.

The product of its digits is 16200, while the sum is 31.

Adding to 13523135431 its reverse (13453132531), we get a palindrome (26976267962).

The spelling of 13523135431 in words is "thirteen billion, five hundred twenty-three million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 13 103 1339 10099429 131292577 1040241187 13523135431