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3330130133 = 1119731671307
BaseRepresentation
bin1100011001111101…
…1100000011010101
322121002020010202002
43012133130003111
523310003131013
61310240125045
7145344432131
oct30637340325
98532203662
103330130133
111459854070
1278b306785
13410c01605
142383c03c1
15147555358
hexc67dc0d5

3330130133 has 32 divisors (see below), whose sum is σ = 3902653440. Its totient is φ = 2809676160.

The previous prime is 3330130127. The next prime is 3330130159. The reversal of 3330130133 is 3310310333.

It is a cyclic number.

It is not a de Polignac number, because 3330130133 - 214 = 3330113749 is a prime.

It is a super-3 number, since 3×33301301333 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330130163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547266 + ... + 2548572.

It is an arithmetic number, because the mean of its divisors is an integer number (121957920).

Almost surely, 23330130133 is an apocalyptic number.

It is an amenable number.

3330130133 is a deficient number, since it is larger than the sum of its proper divisors (572523307).

3330130133 is a wasteful number, since it uses less digits than its factorization.

3330130133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 3330130133 is about 57707.2797227525. The cubic root of 3330130133 is about 1493.3229342598.

Adding to 3330130133 its reverse (3310310333), we get a palindrome (6640440466).

The spelling of 3330130133 in words is "three billion, three hundred thirty million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 11 19 73 167 209 803 1307 1387 1837 3173 12191 14377 15257 24833 34903 95411 134101 218269 231629 273163 1049521 1812809 2400959 2547919 4147111 15933637 19940899 45618221 175270007 302739103 3330130133