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3003042012 = 223232974877
BaseRepresentation
bin1011001011111110…
…1100100011011100
321202021202100012020
42302333230203130
522122234321022
61213553340140
7134263302345
oct26277544334
97667670166
103003042012
111301158a03
126b9867650
1338b20b049
14206b990cc
1512899535c
hexb2fec8dc

3003042012 has 72 divisors (see below), whose sum is σ = 7402033296. Its totient is φ = 947426304.

The previous prime is 3003042001. The next prime is 3003042019. The reversal of 3003042012 is 2102403003.

It is a super-2 number, since 2×30030420122 = 18036522651674016288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3003041982 and 3003042000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003042019) 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 23 ways as a sum of consecutive naturals, for example, 613318 + ... + 618194.

It is an arithmetic number, because the mean of its divisors is an integer number (102806018).

Almost surely, 23003042012 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 3003042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701016648).

3003042012 is an abundant number, since it is smaller than the sum of its proper divisors (4398991284).

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

3003042012 is a wasteful number, since it uses less digits than its factorization.

3003042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3003042012 is about 54800.0183576612. The cubic root of 3003042012 is about 1442.7368879083.

Adding to 3003042012 its reverse (2102403003), we get a palindrome (5105445015).

The spelling of 3003042012 in words is "three billion, three million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 276 291 388 529 582 1058 1164 1587 2116 2231 3174 4462 4877 6348 6693 8924 9754 13386 14631 19508 26772 29262 51313 58524 102626 112171 153939 205252 224342 307878 336513 448684 473069 615756 673026 946138 1346052 1419207 1892276 2579933 2838414 5159866 5676828 7739799 10319732 10880587 15479598 21761174 30959196 32641761 43522348 65283522 130567044 250253501 500507002 750760503 1001014004 1501521006 3003042012