Search a number
-
+
20332022132237 is a prime number
BaseRepresentation
bin1001001111101111010101…
…11101001110111000001101
32122222201111120200101201112
410213313222331032320031
510131104440131212422
6111124222500421405
74165640314414334
oct447675275167015
978881446611645
1020332022132237
116529842491232
1223445950a7865
13b463bc40088a
1450410a1c4d1b
15253d38953ee2
hex127deaf4ee0d

20332022132237 has 2 divisors, whose sum is σ = 20332022132238. Its totient is φ = 20332022132236.

The previous prime is 20332022132131. The next prime is 20332022132239. The reversal of 20332022132237 is 73223122023302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11087175127081 + 9244847005156 = 3329741^2 + 3040534^2 .

It is a cyclic number.

It is not a de Polignac number, because 20332022132237 - 240 = 19232510504461 is a prime.

It is a super-3 number, since 3×203320221322373 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 20332022132239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20332022132239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10166011066118 + 10166011066119.

It is an arithmetic number, because the mean of its divisors is an integer number (10166011066119).

Almost surely, 220332022132237 is an apocalyptic number.

It is an amenable number.

20332022132237 is a deficient number, since it is larger than the sum of its proper divisors (1).

20332022132237 is an equidigital number, since it uses as much as digits as its factorization.

20332022132237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 32.

Adding to 20332022132237 its reverse (73223122023302), we get a palindrome (93555144155539).

The spelling of 20332022132237 in words is "twenty trillion, three hundred thirty-two billion, twenty-two million, one hundred thirty-two thousand, two hundred thirty-seven".