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3301313000 = 235315121863
BaseRepresentation
bin1100010011000110…
…0000100111101000
322112002000002001212
43010301200213220
523230114004000
61303330332252
7144544461146
oct30461404750
98462002055
103301313000
111444561357
1278172a088
13407c51b5b
1423463c596
15144c61c35
hexc4c609e8

3301313000 has 64 divisors (see below), whose sum is σ = 7776587520. Its totient is φ = 1311720000.

The previous prime is 3301312999. The next prime is 3301313017. The reversal of 3301313000 is 3131033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140069 + ... + 161931.

It is an arithmetic number, because the mean of its divisors is an integer number (121509180).

Almost surely, 23301313000 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 3301313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888293760).

3301313000 is an abundant number, since it is smaller than the sum of its proper divisors (4475274520).

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

3301313000 is a wasteful number, since it uses less digits than its factorization.

3301313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22035 (or 22021 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3301313000 is about 57457.0535269605. The cubic root of 3301313000 is about 1489.0029814882.

Adding to 3301313000 its reverse (3131033), we get a palindrome (3304444033).

The spelling of 3301313000 in words is "three billion, three hundred one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 1000 1208 1510 3020 3775 6040 7550 15100 18875 21863 30200 37750 43726 75500 87452 109315 151000 174904 218630 437260 546575 874520 1093150 2186300 2732875 3301313 4372600 5465750 6602626 10931500 13205252 16506565 21863000 26410504 33013130 66026260 82532825 132052520 165065650 330131300 412664125 660262600 825328250 1650656500 3301313000