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1166110002 = 232173810817
BaseRepresentation
bin100010110000001…
…0110110100110010
310000021020112012100
41011200112310302
54342011010002
6311413441230
740616525421
oct10540266462
93007215170
101166110002
11549269782
12286640216
13157789a25
14b0c2b2b8
156c59411c
hex45816d32

1166110002 has 24 divisors (see below), whose sum is σ = 2675194236. Its totient is φ = 365838336.

The previous prime is 1166109953. The next prime is 1166110003. The reversal of 1166110002 is 2000116611.

1166110002 is a `hidden beast` number, since 1 + 1 + 661 + 1 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141696521 + 24413481 = 33789^2 + 4941^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1166110003) 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 11 ways as a sum of consecutive naturals, for example, 1905103 + ... + 1905714.

Almost surely, 21166110002 is an apocalyptic number.

1166110002 is an abundant number, since it is smaller than the sum of its proper divisors (1509084234).

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

1166110002 is a wasteful number, since it uses less digits than its factorization.

1166110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810842 (or 3810839 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1166110002 is about 34148.3528446102. The cubic root of 1166110002 is about 1052.5591399150.

Adding to 1166110002 its reverse (2000116611), we get a palindrome (3166226613).

The spelling of 1166110002 in words is "one billion, one hundred sixty-six million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 3810817 7621634 11432451 22864902 34297353 64783889 68594706 129567778 194351667 388703334 583055001 1166110002