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101532702006 = 232411321104147
BaseRepresentation
bin101111010001111010…
…0100001010100110110
3100201001222200200010200
41132203310201110312
53130414332431011
6114350554101330
710223034504321
oct1364364412466
9321058620120
10101532702006
113a07262187a
121781711a846
1397612117c8
144cb28377b8
152993a93856
hex17a3d21536

101532702006 has 48 divisors (see below), whose sum is σ = 225525828528. Its totient is φ = 32993452800.

The previous prime is 101532701989. The next prime is 101532702013. The reversal of 101532702006 is 600207235101.

It is a happy number.

101532702006 is a `hidden beast` number, since 101 + 532 + 7 + 0 + 20 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 922825 + ... + 1026971.

It is an arithmetic number, because the mean of its divisors is an integer number (4698454761).

Almost surely, 2101532702006 is an apocalyptic number.

101532702006 is an abundant number, since it is smaller than the sum of its proper divisors (123993126522).

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

101532702006 is a wasteful number, since it uses less digits than its factorization.

101532702006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105517 (or 105514 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 101532702006 its reverse (600207235101), we get a palindrome (701739937107).

The spelling of 101532702006 in words is "one hundred one billion, five hundred thirty-two million, seven hundred two thousand, six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1321 2642 3963 7926 11889 23778 54161 104147 108322 162483 208294 312441 324966 487449 624882 937323 974898 1874646 4270027 8540054 12810081 25620162 38430243 76860486 137578187 275156374 412734561 825469122 1238203683 2476407366 5640705667 11281411334 16922117001 33844234002 50766351003 101532702006