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13531142381 is a prime number
BaseRepresentation
bin11001001101000010…
…01101100011101101
31021221000020020211112
430212201031203231
5210202433024011
610114403201405
7656212545461
oct144641154355
937830206745
1013531142381
115813a825a9
122757676265
13137843ba33
1492510a4a1
15542dbc58b
hex32684d8ed

13531142381 has 2 divisors, whose sum is σ = 13531142382. Its totient is φ = 13531142380.

The previous prime is 13531142371. The next prime is 13531142447. The reversal of 13531142381 is 18324113531.

13531142381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13058775625 + 472366756 = 114275^2 + 21734^2 .

It is an emirp because it is prime and its reverse (18324113531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13531142381 - 210 = 13531141357 is a prime.

It is a super-2 number, since 2×135311423812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13531142371) 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, 6765571190 + 6765571191.

It is an arithmetic number, because the mean of its divisors is an integer number (6765571191).

Almost surely, 213531142381 is an apocalyptic number.

It is an amenable number.

13531142381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531142381 is an equidigital number, since it uses as much as digits as its factorization.

13531142381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 32.

The spelling of 13531142381 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-two thousand, three hundred eighty-one".