Search a number
-
+
20221331023193 is a prime number
BaseRepresentation
bin1001001100100001001010…
…10000001010010101011001
32122121010210022211102222012
410212100211100022111121
510122301241220220233
6111001315022035305
74154641301462606
oct446204520122531
978533708742865
1020221331023193
116496900214723
122327042a18b35
13b38b2b988411
144dca092dd6ad
1525100ad43548
hex12642540a559

20221331023193 has 2 divisors, whose sum is σ = 20221331023194. Its totient is φ = 20221331023192.

The previous prime is 20221331023177. The next prime is 20221331023301. The reversal of 20221331023193 is 39132013312202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11333706034249 + 8887624988944 = 3366557^2 + 2981212^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221331023193 - 24 = 20221331023177 is a prime.

It is not a weakly prime, because it can be changed into another prime (20221331023163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110665511596 + 10110665511597.

It is an arithmetic number, because the mean of its divisors is an integer number (10110665511597).

Almost surely, 220221331023193 is an apocalyptic number.

It is an amenable number.

20221331023193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221331023193 is an equidigital number, since it uses as much as digits as its factorization.

20221331023193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 20221331023193 its reverse (39132013312202), we get a palindrome (59353344335395).

The spelling of 20221331023193 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirty-one million, twenty-three thousand, one hundred ninety-three".