Base | Representation |
---|---|
bin | 111110111101… |
… | …1111111000101 |
3 | 2022010021021200 |
4 | 1331323333011 |
5 | 31422414301 |
6 | 3135333113 |
7 | 550416600 |
oct | 175737705 |
9 | 68107250 |
10 | 33013701 |
11 | 176a9756 |
12 | b081199 |
13 | 6abb946 |
14 | 4555337 |
15 | 2d71c86 |
hex | 1f7bfc5 |
33013701 has 18 divisors (see below), whose sum is σ = 55472742. Its totient is φ = 18864720.
The previous prime is 33013699. The next prime is 33013709. The reversal of 33013701 is 10731033.
It can be written as a sum of positive squares in only one way, i.e., 31911201 + 1102500 = 5649^2 + 1050^2 .
It is not a de Polignac number, because 33013701 - 21 = 33013699 is a prime.
It is a super-3 number, since 3×330137013 (a number of 24 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33013709) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36990 + ... + 37871.
It is an arithmetic number, because the mean of its divisors is an integer number (3081819).
Almost surely, 233013701 is an apocalyptic number.
It is an amenable number.
33013701 is a deficient number, since it is larger than the sum of its proper divisors (22459041).
33013701 is a wasteful number, since it uses less digits than its factorization.
33013701 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74881 (or 74871 counting only the distinct ones).
The product of its (nonzero) digits is 189, while the sum is 18.
The square root of 33013701 is about 5745.7550417678. The cubic root of 33013701 is about 320.7978171888.
Adding to 33013701 its reverse (10731033), we get a palindrome (43744734).
The spelling of 33013701 in words is "thirty-three million, thirteen thousand, seven hundred one".
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