Base | Representation |
---|---|
bin | 10010101100000001… |
… | …10111011101010100 |
3 | 221220012212022210200 |
4 | 21112000313131110 |
5 | 131021422033244 |
6 | 4335322020500 |
7 | 503425053432 |
oct | 112600673524 |
9 | 27805768720 |
10 | 10033002324 |
11 | 4289406164 |
12 | 1b40047730 |
13 | c3b7a3b87 |
14 | 6b26b3d52 |
15 | 3dac2b669 |
hex | 256037754 |
10033002324 has 144 divisors (see below), whose sum is σ = 26211529344. Its totient is φ = 3234816000.
The previous prime is 10033002299. The next prime is 10033002367. The reversal of 10033002324 is 42320033001.
10033002324 is a `hidden beast` number, since 10 + 0 + 330 + 0 + 2 + 324 = 666.
It is a super-2 number, since 2×100330023242 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10033002297 and 10033002306.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51984372 + ... + 51984564.
Almost surely, 210033002324 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 10033002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105764672).
10033002324 is an abundant number, since it is smaller than the sum of its proper divisors (16178527020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10033002324 is a wasteful number, since it uses less digits than its factorization.
10033002324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 558 (or 553 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 10033002324 its reverse (42320033001), we get a palindrome (52353035325).
The spelling of 10033002324 in words is "ten billion, thirty-three million, two thousand, three hundred twenty-four".
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