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105313143 = 31319142123
BaseRepresentation
bin1100100011011…
…11001101110111
321100011110110210
412101233031313
5203430010033
614241120503
72416101255
oct621571567
9240143423
10105313143
11544a0361
122b329133
1318a83c90
14ddb55d5
1593a3d63
hex646f377

105313143 has 16 divisors (see below), whose sum is σ = 159178880. Its totient is φ = 61396704.

The previous prime is 105313141. The next prime is 105313151. The reversal of 105313143 is 341313501.

It is not a de Polignac number, because 105313143 - 21 = 105313141 is a prime.

It is a super-2 number, since 2×1053131432 = 22181716177076898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313141) 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 15 ways as a sum of consecutive naturals, for example, 70321 + ... + 71802.

It is an arithmetic number, because the mean of its divisors is an integer number (9948680).

Almost surely, 2105313143 is an apocalyptic number.

105313143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105313143 is a deficient number, since it is larger than the sum of its proper divisors (53865737).

105313143 is a wasteful number, since it uses less digits than its factorization.

105313143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142158.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105313143 is about 10262.2192044411. The cubic root of 105313143 is about 472.2379207843.

Adding to 105313143 its reverse (341313501), we get a palindrome (446626644).

It can be divided in two parts, 1053 and 13143, that added together give a triangular number (14196 = T168).

The spelling of 105313143 in words is "one hundred five million, three hundred thirteen thousand, one hundred forty-three".

Divisors: 1 3 13 19 39 57 247 741 142123 426369 1847599 2700337 5542797 8101011 35104381 105313143