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166003101 = 3411186311
BaseRepresentation
bin10011110010100…
…00000110011101
3102120100211110000
421321100012131
5314444044401
624250004513
74054001025
oct1171200635
9376324400
10166003101
1185782650
1247716739
1328512cb4
1418092a85
15e891186
hex9e5019d

166003101 has 20 divisors (see below), whose sum is σ = 270525024. Its totient is φ = 100607400.

The previous prime is 166003093. The next prime is 166003111. The reversal of 166003101 is 101300661.

166003101 is a `hidden beast` number, since 1 + 660 + 0 + 3 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 166003101 - 23 = 166003093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166003111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92265 + ... + 94046.

Almost surely, 2166003101 is an apocalyptic number.

166003101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166003101 is a deficient number, since it is larger than the sum of its proper divisors (104521923).

166003101 is a wasteful number, since it uses less digits than its factorization.

166003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186334 (or 186325 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 166003101 is about 12884.2190683021. The cubic root of 166003101 is about 549.5898882124.

Adding to 166003101 its reverse (101300661), we get a palindrome (267303762).

It can be divided in two parts, 16600 and 3101, that added together give a triangular number (19701 = T198).

The spelling of 166003101 in words is "one hundred sixty-six million, three thousand, one hundred one".

Divisors: 1 3 9 11 27 33 81 99 297 891 186311 558933 1676799 2049421 5030397 6148263 15091191 18444789 55334367 166003101