Search a number
-
+
130134310344 = 23341711813209
BaseRepresentation
bin111100100110010011…
…0111111110111001000
3110102220021122220210000
41321030212333313020
54113003340412334
6135441033523000
712254564246463
oct1711446776710
9412807586700
10130134310344
115020a475515
1221279873460
13c36b96c1cc
14642726c2da
1535b9a44299
hex1e4c9bfdc8

130134310344 has 80 divisors (see below), whose sum is σ = 385937570700. Its totient is φ = 40826446848.

The previous prime is 130134310333. The next prime is 130134310363. The reversal of 130134310344 is 443013431031.

130134310344 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 4 + 310 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124989117444 + 5145192900 = 353538^2 + 71730^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5895589 + ... + 5917620.

Almost surely, 2130134310344 is an apocalyptic number.

It is an amenable number.

130134310344 is an abundant number, since it is smaller than the sum of its proper divisors (255803260356).

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

130134310344 is a wasteful number, since it uses less digits than its factorization.

130134310344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813244 (or 11813231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130134310344 its reverse (443013431031), we get a palindrome (573147741375).

The spelling of 130134310344 in words is "one hundred thirty billion, one hundred thirty-four million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 11813209 23626418 35439627 47252836 70879254 94505672 106318881 141758508 200824553 212637762 283517016 318956643 401649106 425275524 602473659 637913286 803298212 850551048 956869929 1204947318 1275826572 1606596424 1807420977 1913739858 2409894636 2551653144 3614841954 3827479716 4819789272 5422262931 7229683908 7654959432 10844525862 14459367816 16266788793 21689051724 32533577586 43378103448 65067155172 130134310344