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1314132310505 = 57331131188687
BaseRepresentation
bin10011000111111000011…
…000111011100111101001
311122122000010210012200202
4103013320120323213221
5133012320332414010
62443412024041545
7163641265223000
oct23077030734751
94578003705622
101314132310505
11467358480253
121928303032b5
1396bcac50651
1447866463c37
15242b49916a5
hex131f863b9e9

1314132310505 has 64 divisors (see below), whose sum is σ = 1912843468800. Its totient is φ = 865389470400.

The previous prime is 1314132310483. The next prime is 1314132310681. The reversal of 1314132310505 is 5050132314131.

It is not a de Polignac number, because 1314132310505 - 210 = 1314132309481 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6870272 + ... + 7058958.

It is an arithmetic number, because the mean of its divisors is an integer number (29888179200).

Almost surely, 21314132310505 is an apocalyptic number.

It is an amenable number.

1314132310505 is a deficient number, since it is larger than the sum of its proper divisors (598711158295).

1314132310505 is a wasteful number, since it uses less digits than its factorization.

1314132310505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188875 (or 188861 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 1314132310505 its reverse (5050132314131), we get a palindrome (6364264624636).

The spelling of 1314132310505 in words is "one trillion, three hundred fourteen billion, one hundred thirty-two million, three hundred ten thousand, five hundred five".

Divisors: 1 5 7 31 35 49 131 155 217 245 343 655 917 1085 1519 1715 4061 4585 6419 7595 10633 20305 28427 32095 44933 53165 142135 188687 198989 224665 943435 994945 1320809 1392923 5849297 6604045 6964615 9245663 24717997 29246485 40945079 46228315 64719641 123589985 173025979 204725395 286615553 323598205 766257907 865129895 1211181853 1433077765 2006308871 3831289535 5363805349 6055909265 8478272971 10031544355 26819026745 37546637443 42391364855 187733187215 262826462101 1314132310505