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100060610060106 = 23210155038839417
BaseRepresentation
bin10110110000000100101101…
…000111100101111101001010
3111010021200220221211121011200
4112300010231013211331022
5101103343112133410411
6552451113142405030
730035066124145653
oct2660045507457512
9433250827747150
10100060610060106
1129978514893443
12b2804bba30776
1343aa8a10b1a37
141a9cd6070a52a
15b87c1587ae56
hex5b012d1e5f4a

100060610060106 has 24 divisors (see below), whose sum is σ = 218944503204804. Its totient is φ = 33023303649600.

The previous prime is 100060610060101. The next prime is 100060610060123. The reversal of 100060610060106 is 601060016060001.

It can be written as a sum of positive squares in 2 ways, for example, as 72951499557225 + 27109110502881 = 8541165^2 + 5206641^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100060610060106.

It is not an unprimeable number, because it can be changed into a prime (100060610060101) 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, 27519417891 + ... + 27519421526.

Almost surely, 2100060610060106 is an apocalyptic number.

100060610060106 is an abundant number, since it is smaller than the sum of its proper divisors (118883893144698).

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

100060610060106 is a wasteful number, since it uses less digits than its factorization.

100060610060106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55038839526 (or 55038839523 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100060610060106 in words is "one hundred trillion, sixty billion, six hundred ten million, sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 55038839417 110077678834 165116518251 330233036502 495349554753 990699109506 5558922781117 11117845562234 16676768343351 33353536686702 50030305030053 100060610060106