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131325330345 = 35119711372613
BaseRepresentation
bin111101001001110011…
…0011000001110101001
3110112222021210000001220
41322103212120032221
54122423241032340
6140155141332253
712326235614136
oct1722346301651
9415867700056
10131325330345
11507707a8470
1221550707089
13c4cb63b181
1464db50158d
1536393a8ed0
hex1e939983a9

131325330345 has 64 divisors (see below), whose sum is σ = 233638159104. Its totient is φ = 62457937920.

The previous prime is 131325330337. The next prime is 131325330371. The reversal of 131325330345 is 543033523131.

It is not a de Polignac number, because 131325330345 - 23 = 131325330337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1772259 + ... + 1844871.

It is an arithmetic number, because the mean of its divisors is an integer number (3650596236).

Almost surely, 2131325330345 is an apocalyptic number.

131325330345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131325330345 is a deficient number, since it is larger than the sum of its proper divisors (102312828759).

131325330345 is a wasteful number, since it uses less digits than its factorization.

131325330345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72842.

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 131325330345 its reverse (543033523131), we get a palindrome (674358853476).

The spelling of 131325330345 in words is "one hundred thirty-one billion, three hundred twenty-five million, three hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 97 113 165 291 339 485 565 1067 1243 1455 1695 3201 3729 5335 6215 10961 16005 18645 32883 54805 72613 120571 164415 217839 361713 363065 602855 798743 1089195 1808565 2396229 3993715 7043461 8205269 11981145 21130383 24615807 35217305 41026345 77478071 90257959 105651915 123079035 232434213 270773877 387390355 451289795 795911093 1162171065 1353869385 2387733279 3979555465 8755022023 11938666395 26265066069 43775110115 131325330345