Search a number
-
+
130310321333320 = 23510121697188189
BaseRepresentation
bin11101101000010000111100…
…011010011110010001001000
3122002101112201100100101002101
4131220100330122132101020
5114040001014230131240
61141051422445043144
736306416145416662
oct3550207432362110
9562345640311071
10130310321333320
113858032a233a67
121274701ab564b4
13579329782b2cb
1424270a5dcb532
15100ea0ce3a39a
hex76843c69e448

130310321333320 has 96 divisors (see below), whose sum is σ = 296305994327400. Its totient is φ = 51577362636800.

The previous prime is 130310321333303. The next prime is 130310321333341. The reversal of 130310321333320 is 23333123013031.

It can be written as a sum of positive squares in 12 ways, for example, as 91771380148644 + 38538941184676 = 9579738^2 + 6207974^2 .

It is a super-2 number, since 2×1303103213333202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692349786 + ... + 692537974.

Almost surely, 2130310321333320 is an apocalyptic number.

130310321333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130310321333320 is an abundant number, since it is smaller than the sum of its proper divisors (165995672994080).

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

130310321333320 is a wasteful number, since it uses less digits than its factorization.

130310321333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190099 (or 189994 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 130310321333320 its reverse (23333123013031), we get a palindrome (153643444346351).

The spelling of 130310321333320 in words is "one hundred thirty trillion, three hundred ten billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1697 2020 3394 4040 6788 8485 10201 13576 16970 20402 33940 40804 51005 67880 81608 102010 171397 188189 204020 342794 376378 408040 685588 752756 856985 940945 1371176 1505512 1713970 1881890 3427940 3763780 6855880 7527560 17311097 19007089 34622194 38014178 69244388 76028356 86555485 95035445 138488776 152056712 173110970 190070890 319356733 346221940 380141780 638713466 692443880 760283560 1277426932 1596783665 1919715989 2554853864 3193567330 3839431978 6387134660 7678863956 9598579945 12774269320 15357727912 19197159890 32255030033 38394319780 64510060066 76788639560 129020120132 161275150165 258040240264 322550300330 645100600660 1290201201320 3257758033333 6515516066666 13031032133332 16288790166665 26062064266664 32577580333330 65155160666660 130310321333320