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30013031124 = 223243971011979
BaseRepresentation
bin11011111100111010…
…101000001011010100
32212110122210221201100
4123330322220023110
5442431313443444
621442055230100
72111515361316
oct337472501324
985418727640
1030013031124
111180163455a
125997378330
132aa3ca851b
14164a07b7b6
15ba9d4ee69
hex6fcea82d4

30013031124 has 144 divisors (see below), whose sum is σ = 79247488320. Its totient is φ = 9570355200.

The previous prime is 30013031099. The next prime is 30013031143. The reversal of 30013031124 is 42113031003.

30013031124 is a `hidden beast` number, since 300 + 1 + 30 + 311 + 24 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30013031097 and 30013031106.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15164767 + ... + 15166745.

It is an arithmetic number, because the mean of its divisors is an integer number (550329780).

Almost surely, 230013031124 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 30013031124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39623744160).

30013031124 is an abundant number, since it is smaller than the sum of its proper divisors (49234457196).

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

30013031124 is a wasteful number, since it uses less digits than its factorization.

30013031124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2225 counting only the distinct ones).

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

Adding to 30013031124 its reverse (42113031003), we get a palindrome (72126062127).

The spelling of 30013031124 in words is "thirty billion, thirteen million, thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 97 101 129 172 194 202 258 291 303 387 388 404 516 582 606 774 873 909 1164 1212 1548 1746 1818 1979 3492 3636 3958 4171 4343 5937 7916 8342 8686 9797 11874 12513 13029 16684 17372 17811 19594 23748 25026 26058 29391 35622 37539 39087 39188 50052 52116 58782 71244 75078 78174 85097 88173 117564 150156 156348 170194 176346 191963 199879 255291 340388 352692 383926 399758 421271 510582 575889 599637 765873 767852 799516 842542 1021164 1151778 1199274 1263813 1531746 1685084 1727667 1798911 2303556 2398548 2527626 3063492 3455334 3597822 3791439 5055252 6910668 7195644 7582878 8254409 8594797 15165756 16508818 17189594 19388263 24763227 25784391 33017636 34379188 38776526 49526454 51568782 58164789 74289681 77353173 77553052 99052908 103137564 116329578 148579362 154706346 174494367 232659156 297158724 309412692 348988734 697977468 833695309 1667390618 2501085927 3334781236 5002171854 7503257781 10004343708 15006515562 30013031124