Search a number
-
+
2130533118 = 23671910987
BaseRepresentation
bin111111011111101…
…0101101011111110
312111110222022000000
41332333111223332
513330404024433
6551224415130
7103540142550
oct17677255376
95443868000
102130533118
119a36a307a
124b56174a6
1327c51b6ac
14162d574d0
15c7099113
hex7efd5afe

2130533118 has 112 divisors (see below), whose sum is σ = 5764744320. Its totient is φ = 576633168.

The previous prime is 2130533117. The next prime is 2130533159. The reversal of 2130533118 is 8113350312.

2130533118 is a `hidden beast` number, since 2 + 13 + 0 + 533 + 118 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2130533091 and 2130533100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130533117) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188421 + ... + 199407.

Almost surely, 22130533118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130533118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882372160).

2130533118 is an abundant number, since it is smaller than the sum of its proper divisors (3634211202).

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

2130533118 is a wasteful number, since it uses less digits than its factorization.

2130533118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11033 (or 11018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2130533118 is about 46157.6983611618. The cubic root of 2130533118 is about 1286.7556874015.

The spelling of 2130533118 in words is "two billion, one hundred thirty million, five hundred thirty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 567 729 798 1026 1134 1197 1458 1539 1701 2394 3078 3402 3591 4617 5103 7182 9234 10206 10773 10987 13851 21546 21974 27702 32319 32961 64638 65922 76909 96957 98883 153818 193914 197766 208753 230727 296649 417506 461454 593298 626259 692181 889947 1252518 1384362 1461271 1779894 1878777 2076543 2669841 2922542 3757554 4153086 4383813 5339682 5636331 6229629 8009523 8767626 11272662 12459258 13151439 16019046 16908993 18688887 26302878 33817986 37377774 39454317 50726979 56066661 78908634 101453958 112133322 118362951 152180937 236725902 304361874 355088853 710177706 1065266559 2130533118