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1031322112201 is a prime number
BaseRepresentation
bin11110000000111111001…
…01101001000011001001
310122121000121111120211201
433000133211221003021
5113344121430042301
62105441032024201
7134340060212263
oct17003745510311
93577017446751
101031322112201
1136842149a437
12147a63832061
137633a53b544
1437cb82cab33
151bc6149c201
hexf01f9690c9

1031322112201 has 2 divisors, whose sum is σ = 1031322112202. Its totient is φ = 1031322112200.

The previous prime is 1031322112193. The next prime is 1031322112229. The reversal of 1031322112201 is 1022112231301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 738533984400 + 292788127801 = 859380^2 + 541099^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031322112201 - 23 = 1031322112193 is a prime.

It is a super-2 number, since 2×10313221122012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1031322112501) 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, 515661056100 + 515661056101.

It is an arithmetic number, because the mean of its divisors is an integer number (515661056101).

Almost surely, 21031322112201 is an apocalyptic number.

It is an amenable number.

1031322112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031322112201 is an equidigital number, since it uses as much as digits as its factorization.

1031322112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1031322112201 its reverse (1022112231301), we get a palindrome (2053434343502).

The spelling of 1031322112201 in words is "one trillion, thirty-one billion, three hundred twenty-two million, one hundred twelve thousand, two hundred one".