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101685045 = 35721112577
BaseRepresentation
bin1100000111110…
…01011100110101
321002100010122210
412003321130311
5202012410140
614031244033
72343210600
oct603713465
9232303583
10101685045
1152442530
122a079619
13180b3787
14d70d337
158dd8d80
hex60f9735

101685045 has 48 divisors (see below), whose sum is σ = 206480448. Its totient is φ = 42255360.

The previous prime is 101685037. The next prime is 101685071. The reversal of 101685045 is 540586101.

It is not a de Polignac number, because 101685045 - 23 = 101685037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797 + ... + 14373.

It is an arithmetic number, because the mean of its divisors is an integer number (4301676).

Almost surely, 2101685045 is an apocalyptic number.

101685045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101685045 is an abundant number, since it is smaller than the sum of its proper divisors (104795403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101685045 is a wasteful number, since it uses less digits than its factorization.

101685045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 101685045 is about 10083.9002870913. The cubic root of 101685045 is about 466.7514706993.

The spelling of 101685045 in words is "one hundred one million, six hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 12577 37731 62885 88039 138347 188655 264117 415041 440195 616273 691735 968429 1320585 1848819 2075205 2905287 3081365 4842145 6779003 9244095 14526435 20337009 33895015 101685045