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131330301465 = 3511291071791433
BaseRepresentation
bin111101001001111100…
…1010101111000011001
3110112222122010120011110
41322103321111320121
54122431024121330
6140155440050533
712326326100166
oct1722371257031
9415878116143
10131330301465
1150773593330
1221552303a49
13c4cc68ba6c
1464dc03706d
153639a3bdb0
hex1e93e55e19

131330301465 has 128 divisors (see below), whose sum is σ = 240856934400. Its totient is φ = 60522506240.

The previous prime is 131330301457. The next prime is 131330301491. The reversal of 131330301465 is 564103033131.

It is not a de Polignac number, because 131330301465 - 23 = 131330301457 is a prime.

It is a super-2 number, since 2×1313303014652 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91646389 + ... + 91647821.

It is an arithmetic number, because the mean of its divisors is an integer number (1881694800).

Almost surely, 2131330301465 is an apocalyptic number.

131330301465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131330301465 is a deficient number, since it is larger than the sum of its proper divisors (109526632935).

131330301465 is a wasteful number, since it uses less digits than its factorization.

131330301465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 131330301465 its reverse (564103033131), we get a palindrome (695433334596).

The spelling of 131330301465 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred one thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 29 33 55 87 107 145 165 179 319 321 435 535 537 895 957 1177 1433 1595 1605 1969 2685 3103 3531 4299 4785 5191 5885 5907 7165 9309 9845 15515 15573 15763 17655 19153 21495 25955 29535 34133 41557 46545 47289 57101 57459 77865 78815 95765 102399 124671 153331 170665 171303 207785 210683 236445 256507 285505 287295 457127 459993 511995 555437 623355 632049 766655 769521 856515 1053415 1282535 1371381 1666311 1686641 2285635 2299965 2777185 2821577 3160245 3847605 4446599 5059923 6109807 6856905 7438703 8331555 8433205 8464731 13339797 14107885 18329421 22232995 22316109 25299615 27446249 30549035 37193515 42323655 48912589 66698985 81825733 82338747 91647105 111580545 137231245 146737767 244562945 245477199 301908739 409128665 411693735 733688835 795941221 905726217 1227385995 1509543695 2387823663 3979706105 4528631085 8755353431 11939118315 26266060293 43776767155 131330301465