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321154968961 is a prime number
BaseRepresentation
bin1001010110001100101…
…00111110110110000001
31010200221211201210120001
410223012110332312001
520230211133001321
6403311521320001
732126343123601
oct4530624766601
91120854653501
10321154968961
11114223675622
12522aa196001
1324391892218
1411788994c01
158549a1cc91
hex4ac653ed81

321154968961 has 2 divisors, whose sum is σ = 321154968962. Its totient is φ = 321154968960.

The previous prime is 321154968931. The next prime is 321154968989. The reversal of 321154968961 is 169869451123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241246986561 + 79907982400 = 491169^2 + 282680^2 .

It is an emirp because it is prime and its reverse (169869451123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321154968961 - 213 = 321154960769 is a prime.

It is not a weakly prime, because it can be changed into another prime (321154968931) 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, 160577484480 + 160577484481.

It is an arithmetic number, because the mean of its divisors is an integer number (160577484481).

Almost surely, 2321154968961 is an apocalyptic number.

It is an amenable number.

321154968961 is a deficient number, since it is larger than the sum of its proper divisors (1).

321154968961 is an equidigital number, since it uses as much as digits as its factorization.

321154968961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2799360, while the sum is 55.

The spelling of 321154968961 in words is "three hundred twenty-one billion, one hundred fifty-four million, nine hundred sixty-eight thousand, nine hundred sixty-one".