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3303000012 = 22313473311361
BaseRepresentation
bin1100010011011111…
…1100011111001100
322112012011210012210
43010313330133030
523231032000022
61303430430420
7144565015434
oct30467743714
98465153183
103303000012
111445503884
12782202410
134083c29a0
1423495b2c4
15144e96a0c
hexc4dfc7cc

3303000012 has 96 divisors (see below), whose sum is σ = 8508294144. Its totient is φ = 990950400.

The previous prime is 3303000011. The next prime is 3303000053. The reversal of 3303000012 is 2100003033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3303000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2426212 + ... + 2427572.

It is an arithmetic number, because the mean of its divisors is an integer number (88628064).

Almost surely, 23303000012 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 3303000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254147072).

3303000012 is an abundant number, since it is smaller than the sum of its proper divisors (5205294132).

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

3303000012 is a wasteful number, since it uses less digits than its factorization.

3303000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3303000012 is about 57471.7322864032. The cubic root of 3303000012 is about 1489.2565713111.

Adding to 3303000012 its reverse (2100003033), we get a palindrome (5403003045).

The spelling of 3303000012 in words is "three billion, three hundred three million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 331 564 611 662 993 1222 1324 1361 1833 1986 2444 2722 3666 3972 4083 4303 5444 7332 8166 8606 12909 15557 16332 17212 17693 25818 31114 35386 46671 51636 53079 62228 63967 70772 93342 106158 127934 186684 191901 202241 212316 255868 383802 404482 450491 606723 767604 808964 831571 900982 1213446 1351473 1663142 1801964 2426892 2494713 2702946 3326284 4989426 5405892 5856383 9978852 11712766 17569149 21173077 23425532 35138298 42346154 63519231 70276596 84692308 127038462 254076924 275250001 550500002 825750003 1101000004 1651500006 3303000012