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13434144102073 is a prime number
BaseRepresentation
bin1100001101111110000101…
…1000110001011010111001
31202120021212121012222222101
43003133201120301122321
53230101111342231243
644323321031223401
72554404420521452
oct303374130613271
952507777188871
1013434144102073
11430a430133372
12160b763817b61
13765ab00c5746
14346304b78129
151846bd8e654d
hexc37e16316b9

13434144102073 has 2 divisors, whose sum is σ = 13434144102074. Its totient is φ = 13434144102072.

The previous prime is 13434144102013. The next prime is 13434144102083. The reversal of 13434144102073 is 37020144143431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11723248709929 + 1710895392144 = 3423923^2 + 1308012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13434144102073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13434144102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6717072051036 + 6717072051037.

It is an arithmetic number, because the mean of its divisors is an integer number (6717072051037).

Almost surely, 213434144102073 is an apocalyptic number.

It is an amenable number.

13434144102073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13434144102073 is an equidigital number, since it uses as much as digits as its factorization.

13434144102073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 13434144102073 in words is "thirteen trillion, four hundred thirty-four billion, one hundred forty-four million, one hundred two thousand, seventy-three".