Search a number
-
+
130442314324131 = 3231677201996893
BaseRepresentation
bin11101101010001011110111…
…110011110001100010100011
3122002212011102011110001010200
4131222023313303301202203
5114044131324431333011
61141232212201000243
736322101102344115
oct3552136763614243
9562764364401120
10130442314324131
11386213028a2637
1212768717183083
1357a2871594a34
14242d6280493b5
151013185c29856
hex76a2f7cf18a3

130442314324131 has 48 divisors (see below), whose sum is σ = 197402316733440. Its totient is φ = 82898260505280.

The previous prime is 130442314324121. The next prime is 130442314324169. The reversal of 130442314324131 is 131423413244031.

130442314324131 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 2 + 314 + 324 + 13 + 1 = 666.

It is not a de Polignac number, because 130442314324131 - 215 = 130442314291363 is a prime.

It is a super-2 number, since 2×1304423143241312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130442314324121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346202721 + ... + 1346299613.

It is an arithmetic number, because the mean of its divisors is an integer number (4112548265280).

Almost surely, 2130442314324131 is an apocalyptic number.

130442314324131 is a deficient number, since it is larger than the sum of its proper divisors (66960002409309).

130442314324131 is a wasteful number, since it uses less digits than its factorization.

130442314324131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169016 (or 169013 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 130442314324131 its reverse (131423413244031), we get a palindrome (261865727568162).

The spelling of 130442314324131 in words is "one hundred thirty trillion, four hundred forty-two billion, three hundred fourteen million, three hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 31 67 93 201 279 603 2077 6231 18693 72019 96893 216057 290679 648171 872037 2232589 3003683 4825273 6491831 6697767 9011049 14475819 19475493 20093301 27033147 43427457 58426479 149583463 201246761 448750389 603740283 1346251167 1811220849 6978136967 20934410901 62803232703 216322245977 467535176789 648966737931 1402605530367 1946900213793 4207816591101 14493590480459 43480771441377 130442314324131