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106635324213 = 32111077124487
BaseRepresentation
bin110001101001111110…
…1011110101100110101
3101012020121011201220100
41203103331132230311
53221342120333323
6120553153024313
710463344205025
oct1432375365465
9335217151810
10106635324213
1141250951420
12187bbb55099
13a0953c15a2
1452383ada85
152b91a1b943
hex18d3f5eb35

106635324213 has 12 divisors (see below), whose sum is σ = 168031420128. Its totient is φ = 64627469160.

The previous prime is 106635324199. The next prime is 106635324251. The reversal of 106635324213 is 312423536601.

106635324213 is a `hidden beast` number, since 1 + 0 + 6 + 635 + 3 + 2 + 4 + 2 + 13 = 666.

It is not a de Polignac number, because 106635324213 - 25 = 106635324181 is a prime.

It is a super-2 number, since 2×1066353242132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106635324613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538562145 + ... + 538562342.

It is an arithmetic number, because the mean of its divisors is an integer number (14002618344).

Almost surely, 2106635324213 is an apocalyptic number.

It is an amenable number.

106635324213 is a deficient number, since it is larger than the sum of its proper divisors (61396095915).

106635324213 is a wasteful number, since it uses less digits than its factorization.

106635324213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077124504 (or 1077124501 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 106635324213 in words is "one hundred six billion, six hundred thirty-five million, three hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 1077124487 3231373461 9694120383 11848369357 35545108071 106635324213