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12120300103131 = 32113719916627363
BaseRepresentation
bin1011000001011111101000…
…1011101010010111011011
31120220200121112221112101200
42300113322023222113123
53042034333311300011
641435553342445243
72360443223014113
oct260277213522733
946820545845350
1012120300103131
113953210483940
121438bb3b93823
1369bc29b0c96c
142dc8a8b24043
15160424405856
hexb05fa2ea5db

12120300103131 has 48 divisors (see below), whose sum is σ = 19713402758400. Its totient is φ = 7111190180160.

The previous prime is 12120300103097. The next prime is 12120300103133. The reversal of 12120300103131 is 13130100302121.

12120300103131 is a `hidden beast` number, since 1 + 21 + 20 + 300 + 10 + 313 + 1 = 666.

It is not a de Polignac number, because 12120300103131 - 29 = 12120300102619 is a prime.

It is a super-2 number, since 2×121203001031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120300103133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7584745 + ... + 9042618.

It is an arithmetic number, because the mean of its divisors is an integer number (410695890800).

Almost surely, 212120300103131 is an apocalyptic number.

12120300103131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12120300103131 is a deficient number, since it is larger than the sum of its proper divisors (7593102655269).

12120300103131 is a wasteful number, since it uses less digits than its factorization.

12120300103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16627616 (or 16627613 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12120300103131 its reverse (13130100302121), we get a palindrome (25250400405252).

The spelling of 12120300103131 in words is "twelve trillion, one hundred twenty billion, three hundred million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 199 333 407 597 1221 1791 2189 3663 6567 7363 19701 22089 66267 80993 242979 728937 16627363 49882089 149646267 182900993 548702979 615212431 1646108937 1845637293 3308845237 5536911879 6767336741 9926535711 20302010223 29779607133 36397297607 60906030669 109191892821 122427273769 327575678463 367281821307 1101845463921 1346700011459 4040100034377 12120300103131