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13248812141 is a prime number
BaseRepresentation
bin11000101011011000…
…01101010001101101
31021012022222101112222
430111230031101231
5204113143442031
610030400005125
7646214021315
oct142554152155
937168871488
1013248812141
115689677724
1226990007a5
131331ab9816
148d9816445
155281ede7b
hex315b0d46d

13248812141 has 2 divisors, whose sum is σ = 13248812142. Its totient is φ = 13248812140.

The previous prime is 13248812051. The next prime is 13248812149. The reversal of 13248812141 is 14121884231.

13248812141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11149248100 + 2099564041 = 105590^2 + 45821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13248812141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13248812149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6624406070 + 6624406071.

It is an arithmetic number, because the mean of its divisors is an integer number (6624406071).

Almost surely, 213248812141 is an apocalyptic number.

It is an amenable number.

13248812141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13248812141 is an equidigital number, since it uses as much as digits as its factorization.

13248812141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 35.

The spelling of 13248812141 in words is "thirteen billion, two hundred forty-eight million, eight hundred twelve thousand, one hundred forty-one".