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21200332033 is a prime number
BaseRepresentation
bin10011101111101000…
…110110010100000001
32000201111011110020201
4103233220312110001
5321404241111113
613423404405201
71350235564126
oct235750662401
960644143221
1021200332033
118a9a042271
124137b46801
131ccb28728a
1410518a074d
1584131ecdd
hex4efa36501

21200332033 has 2 divisors, whose sum is σ = 21200332034. Its totient is φ = 21200332032.

The previous prime is 21200332009. The next prime is 21200332063. The reversal of 21200332033 is 33023300212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20774033424 + 426298609 = 144132^2 + 20647^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200332033 - 217 = 21200200961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21200332033.

It is not a weakly prime, because it can be changed into another prime (21200332063) 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, 10600166016 + 10600166017.

It is an arithmetic number, because the mean of its divisors is an integer number (10600166017).

Almost surely, 221200332033 is an apocalyptic number.

It is an amenable number.

21200332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200332033 is an equidigital number, since it uses as much as digits as its factorization.

21200332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 21200332033 its reverse (33023300212), we get a palindrome (54223632245).

It can be divided in two parts, 212003 and 32033, that added together give a square (244036 = 4942).

The spelling of 21200332033 in words is "twenty-one billion, two hundred million, three hundred thirty-two thousand, thirty-three".