Search a number
-
+
131027514465 = 35233116773361
BaseRepresentation
bin111101000000111011…
…0010011010001100001
3110112012112101101111010
41322001312103101201
54121321020430330
6140105422211133
712315661332231
oct1720166232141
9415175341433
10131027514465
1150628685a41
1221488a23aa9
13c481a26563
1464adb39cc1
15361d17c3b0
hex1e81d93461

131027514465 has 64 divisors (see below), whose sum is σ = 227171008512. Its totient is φ = 64298572800.

The previous prime is 131027514461. The next prime is 131027514469. The reversal of 131027514465 is 564415720131.

It is an interprime number because it is at equal distance from previous prime (131027514461) and next prime (131027514469).

It is not a de Polignac number, because 131027514465 - 22 = 131027514461 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131027514461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749385 + ... + 1822745.

It is an arithmetic number, because the mean of its divisors is an integer number (3549547008).

Almost surely, 2131027514465 is an apocalyptic number.

131027514465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131027514465 is a deficient number, since it is larger than the sum of its proper divisors (96143494047).

131027514465 is a wasteful number, since it uses less digits than its factorization.

131027514465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73590.

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 131027514465 in words is "one hundred thirty-one billion, twenty-seven million, five hundred fourteen thousand, four hundred sixty-five".

Divisors: 1 3 5 15 23 31 69 93 115 155 167 345 465 501 713 835 2139 2505 3565 3841 5177 10695 11523 15531 19205 25885 57615 73361 77655 119071 220083 357213 366805 595355 1100415 1687303 1786065 2274191 5061909 6822573 8436515 11370955 12251287 25309545 34112865 36753861 52306393 61256435 156919179 183769305 261531965 281779601 379789897 784595895 845338803 1139369691 1408898005 1898949485 4226694015 5696848455 8735167631 26205502893 43675838155 131027514465