Base | Representation |
---|---|
bin | 11111000000111010… |
… | …011101100100010000 |
3 | 10011221211022102210022 |
4 | 133000322131210100 |
5 | 1021200114301000 |
6 | 23144242523012 |
7 | 2256144365222 |
oct | 370072354420 |
9 | 104854272708 |
10 | 33301322000 |
11 | 13139801121 |
12 | 6554666468 |
13 | 31a931b07b |
14 | 187ca8a412 |
15 | ced88d585 |
hex | 7c0e9d910 |
33301322000 has 80 divisors (see below), whose sum is σ = 80781375792. Its totient is φ = 13277721600.
The previous prime is 33301321987. The next prime is 33301322003. The reversal of 33301322000 is 22310333.
It can be written as a sum of positive squares in 8 ways, for example, as 18986635264 + 14314686736 = 137792^2 + 119644^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×333013220002 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 33301322000.
It is not an unprimeable number, because it can be changed into a prime (33301322003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599402 + ... + 652598.
Almost surely, 233301322000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33301322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390687896).
33301322000 is an abundant number, since it is smaller than the sum of its proper divisors (47480053792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33301322000 is a wasteful number, since it uses less digits than its factorization.
33301322000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 53533 (or 53517 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 17.
Adding to 33301322000 its reverse (22310333), we get a palindrome (33323632333).
The spelling of 33301322000 in words is "thirty-three billion, three hundred one million, three hundred twenty-two thousand".
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