Search a number
-
+
20223320033101 is a prime number
BaseRepresentation
bin1001001100100100110111…
…10011101000011101001101
32122121022220221111121121211
410212102123303220131031
510122314324412024401
6111002244233254421
74155041503002403
oct446223363503515
978538827447554
1020223320033101
116497730a35269
1223274b8b64411
13b39087a85363
144dcb57537473
152510c5784951
hex12649bce874d

20223320033101 has 2 divisors, whose sum is σ = 20223320033102. Its totient is φ = 20223320033100.

The previous prime is 20223320033087. The next prime is 20223320033153. The reversal of 20223320033101 is 10133002332202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19745492088100 + 477827945001 = 4443590^2 + 691251^2 .

It is a cyclic number.

It is not a de Polignac number, because 20223320033101 - 27 = 20223320032973 is a prime.

It is a super-2 number, since 2×202233200331012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20223320033401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10111660016550 + 10111660016551.

It is an arithmetic number, because the mean of its divisors is an integer number (10111660016551).

Almost surely, 220223320033101 is an apocalyptic number.

It is an amenable number.

20223320033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20223320033101 is an equidigital number, since it uses as much as digits as its factorization.

20223320033101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20223320033101 its reverse (10133002332202), we get a palindrome (30356322365303).

The spelling of 20223320033101 in words is "twenty trillion, two hundred twenty-three billion, three hundred twenty million, thirty-three thousand, one hundred one".