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32534310013 is a prime number
BaseRepresentation
bin11110010011001100…
…100010110001111101
310002222101001012010221
4132103030202301331
51013112240410023
622540203101341
72231142033532
oct362314426175
9102871035127
1032534310013
1112885851717
12637b811851
1330b644821a
141808c6ad89
15ca638085d
hex793322c7d

32534310013 has 2 divisors, whose sum is σ = 32534310014. Its totient is φ = 32534310012.

The previous prime is 32534309999. The next prime is 32534310079. The reversal of 32534310013 is 31001343523.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28214928729 + 4319381284 = 167973^2 + 65722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32534310013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32534310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32534311013) 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 as a sum of consecutive naturals, namely, 16267155006 + 16267155007.

It is an arithmetic number, because the mean of its divisors is an integer number (16267155007).

Almost surely, 232534310013 is an apocalyptic number.

It is an amenable number.

32534310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32534310013 is an equidigital number, since it uses as much as digits as its factorization.

32534310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 32534310013 its reverse (31001343523), we get a palindrome (63535653536).

The spelling of 32534310013 in words is "thirty-two billion, five hundred thirty-four million, three hundred ten thousand, thirteen".