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13122544041 = 3213710642777
BaseRepresentation
bin11000011100010101…
…00010000110101001
31020212112101022021200
430032022202012221
5203333332402131
610010045354413
7643121532615
oct141612420651
936775338250
1013122544041
115624374622
122662868a09
1313118a9879
148c6b48345
1551c0ab2e6
hex30e2a21a9

13122544041 has 12 divisors (see below), whose sum is σ = 19093143732. Its totient is φ = 8684505216.

The previous prime is 13122544007. The next prime is 13122544081. The reversal of 13122544041 is 14044522131.

13122544041 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 254 + 404 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6399200025 + 6723344016 = 79995^2 + 81996^2 .

It is not a de Polignac number, because 13122544041 - 26 = 13122543977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122543996 and 13122544014.

It is not an unprimeable number, because it can be changed into a prime (13122544081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5320156 + ... + 5322621.

It is an arithmetic number, because the mean of its divisors is an integer number (1591095311).

Almost surely, 213122544041 is an apocalyptic number.

It is an amenable number.

13122544041 is a deficient number, since it is larger than the sum of its proper divisors (5970599691).

13122544041 is a wasteful number, since it uses less digits than its factorization.

13122544041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642920 (or 10642917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13122544041 in words is "thirteen billion, one hundred twenty-two million, five hundred forty-four thousand, forty-one".

Divisors: 1 3 9 137 411 1233 10642777 31928331 95784993 1458060449 4374181347 13122544041