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320343726624431 is a prime number
BaseRepresentation
bin100100011010110011101011…
…0000010000000111010101111
31120000020120011002200210102112
41020311213112002000322233
5313442002423003440211
63053151513144514235
7124322033114561366
oct11065472602007257
91500216132623375
10320343726624431
11930870143769a4
122bb18915a7b97b
131099938c683003
145916a0d2b47dd
152707d1eb1088b
hex12359d6080eaf

320343726624431 has 2 divisors, whose sum is σ = 320343726624432. Its totient is φ = 320343726624430.

The previous prime is 320343726624403. The next prime is 320343726624433. The reversal of 320343726624431 is 134426627343023.

It is a strong prime.

It is an emirp because it is prime and its reverse (134426627343023) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320343726624431 is a prime.

It is a super-2 number, since 2×3203437266244312 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 320343726624433, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 320343726624431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320343726624433) 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, 160171863312215 + 160171863312216.

It is an arithmetic number, because the mean of its divisors is an integer number (160171863312216).

Almost surely, 2320343726624431 is an apocalyptic number.

320343726624431 is a deficient number, since it is larger than the sum of its proper divisors (1).

320343726624431 is an equidigital number, since it uses as much as digits as its factorization.

320343726624431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10450944, while the sum is 50.

The spelling of 320343726624431 in words is "three hundred twenty trillion, three hundred forty-three billion, seven hundred twenty-six million, six hundred twenty-four thousand, four hundred thirty-one".