Search a number
-
+
130643210916 = 223210725632
BaseRepresentation
bin111100110101011110…
…0010011001010100100
3110111012202020202010100
41321222330103022210
54120024130222131
6140003333224100
712303313653561
oct1715274231244
9414182222110
10130643210916
1150450760aa9
12213a0192030
13c42021c5ca
146474a9d868
1535e95697e6
hex1e6af132a4

130643210916 has 81 divisors (see below), whose sum is σ = 333945328171. Its totient is φ = 43064122224.

The previous prime is 130643210909. The next prime is 130643210917. The reversal of 130643210916 is 619012346031.

The square root of 130643210916 is 361446.

It is a perfect power (a square), and thus also a powerful number.

130643210916 is a `hidden beast` number, since 1 + 3 + 0 + 643 + 2 + 1 + 0 + 9 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130643210917) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 232048051 + ... + 232048613.

Almost surely, 2130643210916 is an apocalyptic number.

130643210916 is the 361446-th square number.

It is an amenable number.

130643210916 is an abundant number, since it is smaller than the sum of its proper divisors (203302117255).

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

130643210916 is an equidigital number, since it uses as much as digits as its factorization.

130643210916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 130643210916 by its sum of digits (36), we get a square (4703155592976 = 21686762).

130643210916 divided by its sum of digits (36) gives a square (3628978081 = 602412).

Adding to 130643210916 its reverse (619012346031), we get a palindrome (749655556947).

The spelling of 130643210916 in words is "one hundred thirty billion, six hundred forty-three million, two hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 563 642 963 1126 1284 1689 1926 2252 3378 3852 5067 6756 10134 11449 20268 22898 34347 45796 60241 68694 103041 120482 137388 180723 206082 240964 316969 361446 412164 542169 633938 722892 950907 1084338 1267876 1901814 2168676 2852721 3803628 5705442 6445787 11410884 12891574 19337361 25783148 33915683 38674722 58012083 67831366 77349444 101747049 116024166 135662732 203494098 232048332 305241147 406988196 610482294 1220964588 3628978081 7257956162 10886934243 14515912324 21773868486 32660802729 43547736972 65321605458 130643210916