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3003033020 = 2251347924113
BaseRepresentation
bin1011001011111110…
…1010010110111100
321202021201212212012
42302333222112330
522122234024040
61213553230352
7134263234211
oct26277522674
97667655765
103003033020
111301152179
126b98623b8
1338b206c20
14206b95b08
15128992865
hexb2fea5bc

3003033020 has 48 divisors (see below), whose sum is σ = 6805935360. Its totient is φ = 1106451456.

The previous prime is 3003033001. The next prime is 3003033029. The reversal of 3003033020 is 203303003.

It is a junction number, because it is equal to n+sod(n) for n = 3003032986 and 3003033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003033029) 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, 112484 + ... + 136596.

It is an arithmetic number, because the mean of its divisors is an integer number (141790320).

Almost surely, 23003033020 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 3003033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402967680).

3003033020 is an abundant number, since it is smaller than the sum of its proper divisors (3802902340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3003033020 is a wasteful number, since it uses less digits than its factorization.

3003033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24614 (or 24612 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 3003033020 is about 54799.9363138316. The cubic root of 3003033020 is about 1442.7354479125.

Adding to 3003033020 its reverse (203303003), we get a palindrome (3206336023).

The spelling of 3003033020 in words is "three billion, three million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 479 958 1916 2395 4790 6227 9580 12454 24113 24908 31135 48226 62270 96452 120565 124540 241130 313469 482260 626938 1253876 1567345 3134690 6269380 11550127 23100254 46200508 57750635 115501270 150151651 231002540 300303302 600606604 750758255 1501516510 3003033020