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101321312032223 is a prime number
BaseRepresentation
bin10111000010011010110100…
…110011111101010111011111
3111021202020000110000101121122
4113002122310303331113133
5101240022021340012343
6555254211305121155
730225136365123443
oct2702326463752737
9437666013011548
10101321312032223
112a314144223638
12b4448ba4891bb
13446c7356a682a
141b03d98a16823
15baa8ee72b068
hex5c26b4cfd5df

101321312032223 has 2 divisors, whose sum is σ = 101321312032224. Its totient is φ = 101321312032222.

The previous prime is 101321312032181. The next prime is 101321312032309. The reversal of 101321312032223 is 322230213123101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101321312032223 - 212 = 101321312028127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321312032192 and 101321312032201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321312032723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660656016111 + 50660656016112.

It is an arithmetic number, because the mean of its divisors is an integer number (50660656016112).

Almost surely, 2101321312032223 is an apocalyptic number.

101321312032223 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321312032223 is an equidigital number, since it uses as much as digits as its factorization.

101321312032223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101321312032223 its reverse (322230213123101), we get a palindrome (423551525155324).

The spelling of 101321312032223 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, thirty-two thousand, two hundred twenty-three".