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13123341132345 = 3251372128684693
BaseRepresentation
bin1011111011111000010000…
…0101100010001000111001
31201110120122012121020201100
42332332010011202020321
53210003100312213340
643524440225042013
72523062425051413
oct276760405421071
951416565536640
1013123341132345
1141aa639a43014
12157b484486309
137426ab126b72
1433525cdb39b3
1517b57cb17830
hexbef84162239

13123341132345 has 24 divisors (see below), whose sum is σ = 22913162046216. Its totient is φ = 6948026834688.

The previous prime is 13123341132331. The next prime is 13123341132481. The reversal of 13123341132345 is 54323114332131.

13123341132345 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 3 + 411 + 3 + 234 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5516617167504 + 7606723964841 = 2348748^2 + 2758029^2 .

It is not a de Polignac number, because 13123341132345 - 229 = 13122804261433 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064336182 + ... + 1064348511.

It is an arithmetic number, because the mean of its divisors is an integer number (954715085259).

Almost surely, 213123341132345 is an apocalyptic number.

13123341132345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123341132345 is a deficient number, since it is larger than the sum of its proper divisors (9789820913871).

13123341132345 is a wasteful number, since it uses less digits than its factorization.

13123341132345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128684841 (or 2128684838 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13123341132345 its reverse (54323114332131), we get a palindrome (67446455464476).

The spelling of 13123341132345 in words is "thirteen trillion, one hundred twenty-three billion, three hundred forty-one million, one hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 2128684693 6386054079 10643423465 19158162237 31930270395 95790811185 291629802941 874889408823 1458149014705 2624668226469 4374447044115 13123341132345