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3013045002 = 23211432271559
BaseRepresentation
bin1011001110010111…
…0110101100001010
321202222120112201100
42303211312230022
522132314420002
61214552002230
7134444313522
oct26345665412
97688515640
103013045002
111306870340
12701090376
13390301086
14208240682
151297be11c
hexb3976b0a

3013045002 has 96 divisors (see below), whose sum is σ = 7324162560. Its totient is φ = 887312160.

The previous prime is 3013044989. The next prime is 3013045003. The reversal of 3013045002 is 2005403103.

3013045002 is a `hidden beast` number, since 30 + 130 + 4 + 500 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3013045003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931899 + ... + 1933457.

It is an arithmetic number, because the mean of its divisors is an integer number (76293360).

Almost surely, 23013045002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013045002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662081280).

3013045002 is an abundant number, since it is smaller than the sum of its proper divisors (4311117558).

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

3013045002 is a wasteful number, since it uses less digits than its factorization.

3013045002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3013045002 is about 54891.2106078924. The cubic root of 3013045002 is about 1444.3370085462.

Adding to 3013045002 its reverse (2005403103), we get a palindrome (5018448105).

The spelling of 3013045002 in words is "three billion, thirteen million, forty-five thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 227 258 387 454 473 681 774 946 1362 1419 1559 2043 2497 2838 3118 4086 4257 4677 4994 7491 8514 9354 9761 14031 14982 17149 19522 22473 28062 29283 34298 44946 51447 58566 67037 87849 102894 107371 134074 154341 175698 201111 214742 308682 322113 353893 402222 603333 644226 707786 737407 966339 1061679 1206666 1474814 1932678 2123358 2212221 3185037 3892823 4424442 6370074 6636663 7785646 11678469 13273326 15217399 23356938 30434798 35035407 45652197 70070814 91304394 136956591 167391389 273913182 334782778 502174167 1004348334 1506522501 3013045002