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3331330000 = 24541312543
BaseRepresentation
bin1100011010010000…
…0000111111010000
322121011111002122121
43012210000333100
523310310030000
61310321544024
7145360560235
oct30644007720
98534432577
103331330000
11145a4a3599
1278b7a5014
134112317ab
1423861378c
151476e0b1a
hexc6900fd0

3331330000 has 100 divisors (see below), whose sum is σ = 8130247488. Its totient is φ = 1321840000.

The previous prime is 3331329997. The next prime is 3331330001. The reversal of 3331330000 is 331333.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×33313300002 = 22195519137800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331330001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1308729 + ... + 1311271.

Almost surely, 23331330000 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 3331330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065123744).

3331330000 is an abundant number, since it is smaller than the sum of its proper divisors (4798917488).

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

3331330000 is a wasteful number, since it uses less digits than its factorization.

3331330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 16.

The square root of 3331330000 is about 57717.6749358461. The cubic root of 3331330000 is about 1493.5022639640.

Adding to 3331330000 its reverse (331333), we get a palindrome (3331661333).

The spelling of 3331330000 in words is "three billion, three hundred thirty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 625 655 1000 1048 1250 1310 2000 2096 2500 2543 2620 3275 5000 5086 5240 6550 10000 10172 10480 12715 13100 16375 20344 25430 26200 32750 40688 50860 52400 63575 65500 81875 101720 127150 131000 163750 203440 254300 262000 317875 327500 333133 508600 635750 655000 666266 1017200 1271500 1310000 1332532 1589375 1665665 2543000 2665064 3178750 3331330 5086000 5330128 6357500 6662660 8328325 12715000 13325320 16656650 25430000 26650640 33313300 41641625 66626600 83283250 133253200 166566500 208208125 333133000 416416250 666266000 832832500 1665665000 3331330000