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1314120000310 = 2513210728325679
BaseRepresentation
bin10011000111110111101…
…001111110001100110110
311122121222021121210021121
4103013313221332030312
5133012304210002220
62443410504134154
7163641055462135
oct23076751761466
94577867553247
101314120000310
11467351532437
1219282816735a
1396bc8530400
144786497b91c
15242b385deaa
hex131f7a7e336

1314120000310 has 96 divisors (see below), whose sum is σ = 2594542026240. Its totient is φ = 478961668224.

The previous prime is 1314120000289. The next prime is 1314120000353. The reversal of 1314120000310 is 130000214131.

It is a super-2 number, since 2×13141200003102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51162051 + ... + 51187729.

It is an arithmetic number, because the mean of its divisors is an integer number (27026479440).

Almost surely, 21314120000310 is an apocalyptic number.

1314120000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314120000310 is a deficient number, since it is larger than the sum of its proper divisors (1280422025930).

1314120000310 is a wasteful number, since it uses less digits than its factorization.

1314120000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26102 (or 26089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1314120000310 its reverse (130000214131), we get a palindrome (1444120214441).

The spelling of 1314120000310 in words is "one trillion, three hundred fourteen billion, one hundred twenty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 65 107 130 169 214 283 338 535 566 845 1070 1391 1415 1690 2782 2830 3679 6955 7358 13910 18083 18395 25679 30281 36166 36790 47827 51358 60562 90415 95654 128395 151405 180830 239135 256790 302810 333827 393653 478270 667654 787306 1669135 1968265 2747653 3338270 3936530 4339751 5117489 5495306 7267157 8679502 10234978 13738265 14534314 21698755 25587445 27476530 35719489 36335785 43397510 51174890 71438978 72671570 94473041 178597445 188946082 357194890 464353357 472365205 777585799 928706714 944730410 1228149533 1555171598 2321766785 2456299066 3887928995 4643533570 6140747665 7775857990 10108615387 12281495330 20217230774 50543076935 101086153870 131412000031 262824000062 657060000155 1314120000310