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13158344385131 = 112317348054197
BaseRepresentation
bin1011111101111010101001…
…1100010110001001101011
31201120220222122101201122012
42333132222130112021223
53211041242130311011
643552505430150135
72525442016563161
oct277365234261153
951526878351565
1013158344385131
114213471405a00
121586212ab234b
13745a98c1926a
14336c1dac9231
1517c42aadba8b
hexbf7aa71626b

13158344385131 has 24 divisors (see below), whose sum is σ = 15134381334912. Its totient is φ = 11417676969600.

The previous prime is 13158344385113. The next prime is 13158344385157.

13158344385131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13158344385131 - 226 = 13158277276267 is a prime.

It is a super-2 number, since 2×131583443851312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13158344385131.

It is not an unprimeable number, because it can be changed into a prime (13158344385731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23753276 + ... + 24300921.

It is an arithmetic number, because the mean of its divisors is an integer number (630599222288).

Almost surely, 213158344385131 is an apocalyptic number.

13158344385131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13158344385131 is a deficient number, since it is larger than the sum of its proper divisors (1976036949781).

13158344385131 is a wasteful number, since it uses less digits than its factorization.

13158344385131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48054323 (or 48054312 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The spelling of 13158344385131 in words is "thirteen trillion, one hundred fifty-eight billion, three hundred forty-four million, three hundred eighty-five thousand, one hundred thirty-one".

Divisors: 1 11 31 73 121 341 803 2263 3751 8833 24893 273823 48054197 528596167 1489680107 3507956381 5814557837 16386481177 38587520191 108746647811 180251292947 424462722101 1196213125921 13158344385131