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166313106 = 23267313729
BaseRepresentation
bin10011110100110…
…11110010010010
3102120221120200200
421322123302102
5320034004411
624300400030
74056431601
oct1172336222
9376846620
10166313106
1185974553
1247846016
13285c112b
1418133a38
15e902e56
hex9e9bc92

166313106 has 24 divisors (see below), whose sum is σ = 360906780. Its totient is φ = 55351296.

The previous prime is 166313101. The next prime is 166313107. The reversal of 166313106 is 601313661.

It is a happy number.

166313106 is a `hidden beast` number, since 16 + 631 + 3 + 10 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162333081 + 3980025 = 12741^2 + 1995^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166313106.

It is not an unprimeable number, because it can be changed into a prime (166313101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5250 + ... + 18978.

Almost surely, 2166313106 is an apocalyptic number.

166313106 is an abundant number, since it is smaller than the sum of its proper divisors (194593674).

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

166313106 is a wasteful number, since it uses less digits than its factorization.

166313106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14407 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 166313106 is about 12896.2438717636. The cubic root of 166313106 is about 549.9317887859.

Adding to 166313106 its reverse (601313661), we get a palindrome (767626767).

The spelling of 166313106 in words is "one hundred sixty-six million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 673 1346 2019 4038 6057 12114 13729 27458 41187 82374 123561 247122 9239617 18479234 27718851 55437702 83156553 166313106