Search a number
-
+
2210033000321 is a prime number
BaseRepresentation
bin100000001010010000001…
…110110101111110000001
321211021110222222202111222
4200022100032311332001
5242202121422002241
64411135233044425
7315445451356616
oct40122016657601
97737428882458
102210033000321
117822a7016693
122b839b6b6715
13130536356513
1478d7524450d
153c74c17ca4b
hex202903b5f81

2210033000321 has 2 divisors, whose sum is σ = 2210033000322. Its totient is φ = 2210033000320.

The previous prime is 2210033000311. The next prime is 2210033000333. The reversal of 2210033000321 is 1230003300122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2122662508096 + 87370492225 = 1456936^2 + 295585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210033000321 - 26 = 2210033000257 is a prime.

It is a super-2 number, since 2×22100330003212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2210033000321.

It is not a weakly prime, because it can be changed into another prime (2210033000311) 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, 1105016500160 + 1105016500161.

It is an arithmetic number, because the mean of its divisors is an integer number (1105016500161).

Almost surely, 22210033000321 is an apocalyptic number.

It is an amenable number.

2210033000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210033000321 is an equidigital number, since it uses as much as digits as its factorization.

2210033000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2210033000321 its reverse (1230003300122), we get a palindrome (3440036300443).

The spelling of 2210033000321 in words is "two trillion, two hundred ten billion, thirty-three million, three hundred twenty-one", and thus it is an aban number.