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105140331 = 3212919049
BaseRepresentation
bin1100100010001…
…01000001101011
321022211200102100
412101011001223
5203403442311
614233304443
72414451402
oct621050153
9238750370
10105140331
115439253a
122b265123
1318a2341a
14dd6c639
15936ca56
hex644506b

105140331 has 12 divisors (see below), whose sum is σ = 152003800. Its totient is φ = 70031520.

The previous prime is 105140327. The next prime is 105140339. The reversal of 105140331 is 133041501.

It is not a de Polignac number, because 105140331 - 22 = 105140327 is a prime.

It is a super-2 number, since 2×1051403312 = 22108978405579122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105140339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7095 + ... + 16143.

Almost surely, 2105140331 is an apocalyptic number.

105140331 is a deficient number, since it is larger than the sum of its proper divisors (46863469).

105140331 is a wasteful number, since it uses less digits than its factorization.

105140331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105140331 is about 10253.7959312637. The cubic root of 105140331 is about 471.9794754912.

Adding to 105140331 its reverse (133041501), we get a palindrome (238181832).

The spelling of 105140331 in words is "one hundred five million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 1291 3873 9049 11619 27147 81441 11682259 35046777 105140331