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3331012000 = 25533126863
BaseRepresentation
bin1100011010001011…
…0011010110100000
322121010212221102211
43012202303112200
523310214341000
61310311051504
7145355064151
oct30642632640
98533787384
103331012000
11145a2a6688
1278b670b94
1341114cb24
1423856d928
1514767b7ba
hexc68b35a0

3331012000 has 96 divisors (see below), whose sum is σ = 8448620544. Its totient is φ = 1289376000.

The previous prime is 3331011997. The next prime is 3331012001. The reversal of 3331012000 is 2101333.

It is a super-2 number, since 2×33310120002 = 22191281888288000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331012001) 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, 110569 + ... + 137431.

It is an arithmetic number, because the mean of its divisors is an integer number (88006464).

Almost surely, 23331012000 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 3331012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224310272).

3331012000 is an abundant number, since it is smaller than the sum of its proper divisors (5117608544).

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

3331012000 is a wasteful number, since it uses less digits than its factorization.

3331012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26919 (or 26901 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3331012000 is about 57714.9200813793. The cubic root of 3331012000 is about 1493.4547405191.

Adding to 3331012000 its reverse (2101333), we get a palindrome (3333113333).

The spelling of 3331012000 in words is "three billion, three hundred thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 26863 31000 53726 62000 107452 124000 134315 214904 268630 429808 537260 671575 832753 859616 1074520 1343150 1665506 2149040 2686300 3331012 3357875 4163765 4298080 5372600 6662024 6715750 8327530 10745200 13324048 13431500 16655060 20818825 21490400 26648096 26863000 33310120 41637650 53726000 66620240 83275300 104094125 107452000 133240480 166550600 208188250 333101200 416376500 666202400 832753000 1665506000 3331012000