Base | Representation |
---|---|
bin | 111110111100… |
… | …0101010100100 |
3 | 2022002120121221 |
4 | 1331320222210 |
5 | 31422000400 |
6 | 3135150124 |
7 | 550332130 |
oct | 175705244 |
9 | 68076557 |
10 | 33000100 |
11 | 1769a511 |
12 | b075344 |
13 | 6ab56b3 |
14 | 45503c0 |
15 | 2d6cc1a |
hex | 1f78aa4 |
33000100 has 36 divisors (see below), whose sum is σ = 81841984. Its totient is φ = 11314080.
The previous prime is 33000091. The next prime is 33000103. The reversal of 33000100 is 100033.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33000103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22872 + ... + 24271.
Almost surely, 233000100 is an apocalyptic number.
It is an amenable number.
33000100 is an abundant number, since it is smaller than the sum of its proper divisors (48841884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33000100 is a wasteful number, since it uses less digits than its factorization.
33000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47164 (or 47157 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 33000100 is about 5744.5713504142. The cubic root of 33000100 is about 320.7537569926.
Adding to 33000100 its reverse (100033), we get a palindrome (33100133).
The spelling of 33000100 in words is "thirty-three million, one hundred", and thus it is an aban number.
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