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13140123120 = 2432518250171
BaseRepresentation
bin11000011110011011…
…00101110111110000
31020220202110102020200
430033031211313300
5203402332414440
610011514235200
7643424126565
oct141715456760
936822412220
1013140123120
115633290a93
122668725b00
1313154230a7
148c920286c
1551d8cec30
hex30f365df0

13140123120 has 60 divisors (see below), whose sum is σ = 44128915896. Its totient is φ = 3504032640.

The previous prime is 13140123079. The next prime is 13140123121. The reversal of 13140123120 is 2132104131.

13140123120 is a `hidden beast` number, since 1 + 31 + 401 + 231 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13140123093 and 13140123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9124366 + ... + 9125805.

Almost surely, 213140123120 is an apocalyptic number.

13140123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140123120 is an abundant number, since it is smaller than the sum of its proper divisors (30988792776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13140123120 is a wasteful number, since it uses less digits than its factorization.

13140123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250190 (or 18250181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13140123120 its reverse (2132104131), we get a palindrome (15272227251).

The spelling of 13140123120 in words is "thirteen billion, one hundred forty million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18250171 36500342 54750513 73000684 91250855 109501026 146001368 164251539 182501710 219002052 273752565 292002736 328503078 365003420 438004104 547505130 657006156 730006840 821257695 876008208 1095010260 1314012312 1460013680 1642515390 2190020520 2628024624 3285030780 4380041040 6570061560 13140123120