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20346317944801 is a prime number
BaseRepresentation
bin1001010000001001111110…
…00011011011011111100001
32200001002101212202220211221
410220010333003123133201
510131323224343213201
6111134545221335041
74166654504002222
oct450047703333741
980032355686757
1020346317944801
116534909063862
122347304867481
13b4785a0a2574
14504aa4aa1249
152543c3a1a4a1
hex12813f0db7e1

20346317944801 has 2 divisors, whose sum is σ = 20346317944802. Its totient is φ = 20346317944800.

The previous prime is 20346317944787. The next prime is 20346317944811. The reversal of 20346317944801 is 10844971364302.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17301240594576 + 3045077350225 = 4159476^2 + 1745015^2 .

It is a cyclic number.

It is not a de Polignac number, because 20346317944801 - 25 = 20346317944769 is a prime.

It is not a weakly prime, because it can be changed into another prime (20346317944811) 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, 10173158972400 + 10173158972401.

It is an arithmetic number, because the mean of its divisors is an integer number (10173158972401).

Almost surely, 220346317944801 is an apocalyptic number.

It is an amenable number.

20346317944801 is a deficient number, since it is larger than the sum of its proper divisors (1).

20346317944801 is an equidigital number, since it uses as much as digits as its factorization.

20346317944801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 20346317944801 in words is "twenty trillion, three hundred forty-six billion, three hundred seventeen million, nine hundred forty-four thousand, eight hundred one".