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13266202041 = 32383932
BaseRepresentation
bin11000101101011101…
…00010110110111001
31021020112200220000100
430112232202312321
5204132121431131
610032220430013
7646514566611
oct142656426671
937215626010
1013266202041
115698474a44
1226a29a8309
131335597bc1
148dbc61a41
155299d67e6
hex316ba2db9

13266202041 has 9 divisors (see below), whose sum is σ = 19162790959. Its totient is φ = 8843904336.

The previous prime is 13266202013. The next prime is 13266202051. The reversal of 13266202041 is 14020266231.

The square root of 13266202041 is 115179.

It is a perfect power (a square), and thus also a powerful number.

13266202041 is a `hidden beast` number, since 1 + 32 + 6 + 620 + 2 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4146716025 + 9119486016 = 64395^2 + 95496^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13266202041 - 25 = 13266202009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13266201996 and 13266202014.

It is not an unprimeable number, because it can be changed into a prime (13266202051) 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 8 ways as a sum of consecutive naturals, for example, 326341 + ... + 364733.

Almost surely, 213266202041 is an apocalyptic number.

13266202041 is the 115179-th square number.

13266202041 is the 57590-th centered octagonal number.

It is an amenable number.

13266202041 is a deficient number, since it is larger than the sum of its proper divisors (5896588918).

13266202041 is an frugal number, since it uses more digits than its factorization.

13266202041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76792 (or 38396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13266202041 its reverse (14020266231), we get a palindrome (27286468272).

The spelling of 13266202041 in words is "thirteen billion, two hundred sixty-six million, two hundred two thousand, forty-one".

Divisors: 1 3 9 38393 115179 345537 1474022449 4422067347 13266202041