Search a number
-
+
133340027120 = 2451132130531
BaseRepresentation
bin111110000101110101…
…1110101100011110000
3110202011200210012110222
41330023223311203300
54141040021331440
6141131111312212
712430201346516
oct1741353654360
9422150705428
10133340027120
1151604a72a23
1221a1337b668
13c75cb5cb41
14664cd044b6
1537061c12b5
hex1f0baf58f0

133340027120 has 60 divisors (see below), whose sum is σ = 312785738616. Its totient is φ = 52863605760.

The previous prime is 133340027089. The next prime is 133340027131. The reversal of 133340027120 is 21720043331.

133340027120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133340027120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956255 + ... + 1086785.

Almost surely, 2133340027120 is an apocalyptic number.

133340027120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133340027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156392869308).

133340027120 is an abundant number, since it is smaller than the sum of its proper divisors (179445711496).

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

133340027120 is a wasteful number, since it uses less digits than its factorization.

133340027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130770 (or 130651 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 133340027120 in words is "one hundred thirty-three billion, three hundred forty million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 12769 25538 51076 63845 102152 127690 130531 204304 255380 261062 510760 522124 652655 1021520 1044248 1305310 2088496 2610620 5221240 10442480 14750003 29500006 59000012 73750015 118000024 147500030 236000048 295000060 590000120 1180000240 1666750339 3333500678 6667001356 8333751695 13334002712 16667503390 26668005424 33335006780 66670013560 133340027120