Search a number
-
+
2210033021101 is a prime number
BaseRepresentation
bin100000001010010000001…
…110111011000010101101
321211021111000000211000121
4200022100032323002231
5242202121423133401
64411135233324541
7315445451504323
oct40122016730255
97737430024017
102210033021101
117822a7030264
122b839b706751
13130536362b09
1478d7524bd13
153c74c183ca1
hex202903bb0ad

2210033021101 has 2 divisors, whose sum is σ = 2210033021102. Its totient is φ = 2210033021100.

The previous prime is 2210033021099. The next prime is 2210033021159. The reversal of 2210033021101 is 1011203300122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2116809665476 + 93223355625 = 1454926^2 + 305325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210033021101 - 21 = 2210033021099 is a prime.

It is a super-2 number, since 2×22100330211012 (a number of 25 digits) contains 22 as substring.

Together with 2210033021099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210033051101) 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, 1105016510550 + 1105016510551.

It is an arithmetic number, because the mean of its divisors is an integer number (1105016510551).

Almost surely, 22210033021101 is an apocalyptic number.

It is an amenable number.

2210033021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210033021101 is an equidigital number, since it uses as much as digits as its factorization.

2210033021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2210033021101 its reverse (1011203300122), we get a palindrome (3221236321223).

The spelling of 2210033021101 in words is "two trillion, two hundred ten billion, thirty-three million, twenty-one thousand, one hundred one".