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3013241130 = 2325832271777
BaseRepresentation
bin1011001110011010…
…0110100100101010
321202222221111202100
42303212212210222
522132342204010
61215000114230
7134446061364
oct26346464452
97688844670
103013241130
111306994729
12701165976
1339036c423
14208291d34
1512980c2c0
hexb39a692a

3013241130 has 96 divisors (see below), whose sum is σ = 7968227904. Its totient is φ = 789907968.

The previous prime is 3013241087. The next prime is 3013241149. The reversal of 3013241130 is 311423103.

3013241130 is a `hidden beast` number, since 301 + 324 + 11 + 30 = 666.

3013241130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694802 + ... + 1696578.

It is an arithmetic number, because the mean of its divisors is an integer number (83002374).

Almost surely, 23013241130 is an apocalyptic number.

3013241130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

3013241130 is an abundant number, since it is smaller than the sum of its proper divisors (4954986774).

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

3013241130 is a wasteful number, since it uses less digits than its factorization.

3013241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3013241130 is about 54892.9970943471. The cubic root of 3013241130 is about 1444.3683465871.

Adding to 3013241130 its reverse (311423103), we get a palindrome (3324664233).

The spelling of 3013241130 in words is "three billion, thirteen million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 227 249 415 454 498 681 747 830 1135 1245 1362 1494 1777 2043 2270 2490 3405 3554 3735 4086 5331 6810 7470 8885 10215 10662 15993 17770 18841 20430 26655 31986 37682 53310 56523 79965 94205 113046 147491 159930 169569 188410 282615 294982 339138 403379 442473 565230 737455 806758 847845 884946 1210137 1327419 1474910 1695690 2016895 2212365 2420274 2654838 3630411 4033790 4424730 6050685 6637095 7260822 12101370 13274190 18152055 33480457 36304110 66960914 100441371 167402285 200882742 301324113 334804570 502206855 602648226 1004413710 1506620565 3013241130