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105312531 = 335104177
BaseRepresentation
bin1100100011011…
…11000100010011
321100011102122010
412101233010103
5203430000111
614241114003
72416066422
oct621570423
9240142563
10105312531
115449a955
122b328903
1318a8390c
14ddb52b9
1593a3aa6
hex646f113

105312531 has 4 divisors (see below), whose sum is σ = 140416712. Its totient is φ = 70208352.

The previous prime is 105312527. The next prime is 105312533. The reversal of 105312531 is 135213501.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 105312531 - 22 = 105312527 is a prime.

It is a super-2 number, since 2×1053125312 = 22181458371251922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105312498 and 105312507.

It is not an unprimeable number, because it can be changed into a prime (105312533) 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 3 ways as a sum of consecutive naturals, for example, 17552086 + ... + 17552091.

It is an arithmetic number, because the mean of its divisors is an integer number (35104178).

Almost surely, 2105312531 is an apocalyptic number.

105312531 is a deficient number, since it is larger than the sum of its proper divisors (35104181).

105312531 is an equidigital number, since it uses as much as digits as its factorization.

105312531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35104180.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105312531 is about 10262.1893862859. The cubic root of 105312531 is about 472.2370060198.

The spelling of 105312531 in words is "one hundred five million, three hundred twelve thousand, five hundred thirty-one".

Divisors: 1 3 35104177 105312531