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13140346633 is a prime number
BaseRepresentation
bin11000011110011100…
…11100011100001001
31020220202212202211221
430033032130130021
5203402412043013
610011523122041
7643426050331
oct141716343411
936822782757
1013140346633
115633423a07
122668813321
1313154a0a4b
148c92600c1
1551d92608d
hex30f39c709

13140346633 has 2 divisors, whose sum is σ = 13140346634. Its totient is φ = 13140346632.

The previous prime is 13140346603. The next prime is 13140346663. The reversal of 13140346633 is 33664304131.

13140346633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13140346603) and next prime (13140346663).

It can be written as a sum of positive squares in only one way, i.e., 13123306249 + 17040384 = 114557^2 + 4128^2 .

It is a cyclic number.

It is not a de Polignac number, because 13140346633 - 213 = 13140338441 is a prime.

It is not a weakly prime, because it can be changed into another prime (13140346603) 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, 6570173316 + 6570173317.

It is an arithmetic number, because the mean of its divisors is an integer number (6570173317).

Almost surely, 213140346633 is an apocalyptic number.

It is an amenable number.

13140346633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140346633 is an equidigital number, since it uses as much as digits as its factorization.

13140346633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 13140346633 in words is "thirteen billion, one hundred forty million, three hundred forty-six thousand, six hundred thirty-three".