Search a number
-
+
30120336150 = 235219101104639
BaseRepresentation
bin11100000011010011…
…111101101100010110
32212202010201121112120
4130003103331230112
5443141301224100
621500451200410
72114260430052
oct340323755426
985663647476
1030120336150
11118571653a3
125a072a6106
132ac02a9018
14165a410c62
15bb44990a0
hex7034fdb16

30120336150 has 96 divisors (see below), whose sum is σ = 79409203200. Its totient is φ = 7533936000.

The previous prime is 30120336133. The next prime is 30120336173. The reversal of 30120336150 is 5163302103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30120336150.

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, 235531 + ... + 340169.

It is an arithmetic number, because the mean of its divisors is an integer number (827179200).

Almost surely, 230120336150 is an apocalyptic number.

30120336150 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 30120336150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39704601600).

30120336150 is an abundant number, since it is smaller than the sum of its proper divisors (49288867050).

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

30120336150 is a wasteful number, since it uses less digits than its factorization.

30120336150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104774 (or 104769 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 30120336150 its reverse (5163302103), we get a palindrome (35283638253).

The spelling of 30120336150 in words is "thirty billion, one hundred twenty million, three hundred thirty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 101 114 150 190 202 285 303 475 505 570 606 950 1010 1425 1515 1919 2525 2850 3030 3838 5050 5757 7575 9595 11514 15150 19190 28785 47975 57570 95950 104639 143925 209278 287850 313917 523195 627834 1046390 1569585 1988141 2615975 3139170 3976282 5231950 5964423 7847925 9940705 10568539 11928846 15695850 19881410 21137078 29822115 31705617 49703525 52842695 59644230 63411234 99407050 105685390 149110575 158528085 200802241 264213475 298221150 317056170 401604482 528426950 602406723 792640425 1004011205 1204813446 1585280850 2008022410 3012033615 5020056025 6024067230 10040112050 15060168075 30120336150