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3003013002 = 23111011094133
BaseRepresentation
bin1011001011111110…
…0101011110001010
321202021200212101210
42302333211132022
522122232404002
61213552553550
7134263121643
oct26277453612
97667625353
103003013002
111301139130
126b98528b6
1338b1caa92
14206b8c6ca
1512898b96c
hexb2fe578a

3003013002 has 64 divisors (see below), whose sum is σ = 6679221120. Its totient is φ = 892512000.

The previous prime is 3003012989. The next prime is 3003013003. The reversal of 3003013002 is 2003103003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3003013003) 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, 724528 + ... + 728660.

It is an arithmetic number, because the mean of its divisors is an integer number (104362830).

Almost surely, 23003013002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339610560).

3003013002 is an abundant number, since it is smaller than the sum of its proper divisors (3676208118).

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

3003013002 is a wasteful number, since it uses less digits than its factorization.

3003013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359.

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

The square root of 3003013002 is about 54799.7536673296. The cubic root of 3003013002 is about 1442.7322421822.

Adding to 3003013002 its reverse (2003103003), we get a palindrome (5006116005).

Subtracting from 3003013002 its reverse (2003103003), we obtain a palindrome (999909999).

It can be divided in two parts, 300301 and 3002, that added together give a palindrome (303303).

The spelling of 3003013002 in words is "three billion, three million, thirteen thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 109 202 218 303 327 606 654 1111 1199 2222 2398 3333 3597 4133 6666 7194 8266 11009 12399 22018 24798 33027 45463 66054 90926 121099 136389 242198 272778 363297 417433 450497 726594 834866 900994 1252299 1351491 2504598 2702982 4591763 4955467 9183526 9910934 13775289 14866401 27550578 29732802 45500197 91000394 136500591 273001182 500502167 1001004334 1501506501 3003013002