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13131013505145 = 3519277166331161
BaseRepresentation
bin1011111100010100110101…
…1001010100000001111001
31201111022102220112011120220
42333011031121110001321
53210114303424131040
643532145422410253
72523453520125264
oct277051531240171
951438386464526
1013131013505145
114202916887288
121580a65a30989
13743331818223
14335789d55cdb
1517b87b4982d0
hexbf14d654079

13131013505145 has 32 divisors (see below), whose sum is σ = 22195230257280. Its totient is φ = 6610665623040.

The previous prime is 13131013505117. The next prime is 13131013505167. The reversal of 13131013505145 is 54150531013131.

13131013505145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131013505145 - 221 = 13131011407993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83086636 + ... + 83244525.

It is an arithmetic number, because the mean of its divisors is an integer number (693600945540).

Almost surely, 213131013505145 is an apocalyptic number.

13131013505145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13131013505145 is a deficient number, since it is larger than the sum of its proper divisors (9064216752135).

13131013505145 is a wasteful number, since it uses less digits than its factorization.

13131013505145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166331465.

The product of its (nonzero) digits is 13500, while the sum is 33.

Adding to 13131013505145 its reverse (54150531013131), we get a palindrome (67281544518276).

The spelling of 13131013505145 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, five hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 15 19 57 95 277 285 831 1385 4155 5263 15789 26315 78945 166331161 498993483 831655805 2494967415 3160292059 9480876177 15801460295 46073731597 47404380885 138221194791 230368657985 691105973955 875400900343 2626202701029 4377004501715 13131013505145