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105339635513 = 7137109843207
BaseRepresentation
bin110001000011010111…
…0110100011100111001
3101001220022002221010222
41202012232310130321
53211213421314023
6120220425545425
710416262061660
oct1420656643471
9331808087128
10105339635513
1140746529312
12184ba045275
139c19b35a98
145154291dd7
152b17dcdcc8
hex1886bb4739

105339635513 has 8 divisors (see below), whose sum is σ = 121266901632. Its totient is φ = 89632056096.

The previous prime is 105339635497. The next prime is 105339635563. The reversal of 105339635513 is 315536933501.

It is a happy number.

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 105339635513 - 24 = 105339635497 is a prime.

It is a super-2 number, since 2×1053396355132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105339635563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54920645 + ... + 54922562.

It is an arithmetic number, because the mean of its divisors is an integer number (15158362704).

Almost surely, 2105339635513 is an apocalyptic number.

It is an amenable number.

105339635513 is a deficient number, since it is larger than the sum of its proper divisors (15927266119).

105339635513 is a wasteful number, since it uses less digits than its factorization.

105339635513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109843351.

The product of its (nonzero) digits is 546750, while the sum is 44.

The spelling of 105339635513 in words is "one hundred five billion, three hundred thirty-nine million, six hundred thirty-five thousand, five hundred thirteen".

Divisors: 1 7 137 959 109843207 768902449 15048519359 105339635513