Base | Representation |
---|---|
bin | 111111001000… |
… | …1000011100000 |
3 | 2022021122122221 |
4 | 1332101003200 |
5 | 31433200000 |
6 | 3141240424 |
7 | 551226313 |
oct | 176210340 |
9 | 68248587 |
10 | 33100000 |
11 | 1775857a |
12 | b103114 |
13 | 6b1bccb |
14 | 457897a |
15 | 2d8c61a |
hex | 1f910e0 |
33100000 has 72 divisors (see below), whose sum is σ = 81697896. Its totient is φ = 13200000.
The previous prime is 33099959. The next prime is 33100007. The reversal of 33100000 is 133.
It is a happy number.
It is a super-2 number, since 2×331000002 = 2191220000000000, which contains 22 as substring.
It is a nialpdrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33100007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99835 + ... + 100165.
It is an arithmetic number, because the mean of its divisors is an integer number (1134693).
Almost surely, 233100000 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 33100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40848948).
33100000 is an abundant number, since it is smaller than the sum of its proper divisors (48597896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33100000 is an frugal number, since it uses more digits than its factorization.
33100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 338 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 33100000 is about 5753.2599454570. The cubic root of 33100000 is about 321.0770996501.
Adding to 33100000 its reverse (133), we get a palindrome (33100133).
The spelling of 33100000 in words is "thirty-three million, one hundred thousand".
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