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101321331077 is a prime number
BaseRepresentation
bin101111001011100111…
…0001101000110000101
3100200112020221220201202
41132113032031012011
53130001230043302
6114314003432245
710214560050461
oct1362716150605
9320466856652
10101321331077
1139a7428275a
1217778385685
1397294a5955
144c927354a1
152980240202
hex179738d185

101321331077 has 2 divisors, whose sum is σ = 101321331078. Its totient is φ = 101321331076.

The previous prime is 101321330977. The next prime is 101321331119. The reversal of 101321331077 is 770133123101.

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., 95239514881 + 6081816196 = 308609^2 + 77986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321331077 - 28 = 101321330821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321331277) 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, 50660665538 + 50660665539.

It is an arithmetic number, because the mean of its divisors is an integer number (50660665539).

Almost surely, 2101321331077 is an apocalyptic number.

It is an amenable number.

101321331077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321331077 is an equidigital number, since it uses as much as digits as its factorization.

101321331077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

Adding to 101321331077 its reverse (770133123101), we get a palindrome (871454454178).

The spelling of 101321331077 in words is "one hundred one billion, three hundred twenty-one million, three hundred thirty-one thousand, seventy-seven".