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109201819201 is a prime number
BaseRepresentation
bin110010110110011101…
…1111000011001000001
3101102212110111012011021
41211230323320121001
53242121131203301
6122055553545441
710614060101506
oct1455473703101
9342773435137
10109201819201
1142348642062
12191b7575281
13a3b4033087
1453dd1ad4ad
152c91ece8a1
hex196cef8641

109201819201 has 2 divisors, whose sum is σ = 109201819202. Its totient is φ = 109201819200.

The previous prime is 109201819187. The next prime is 109201819229. The reversal of 109201819201 is 102918102901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67340250000 + 41861569201 = 259500^2 + 204601^2 .

It is a cyclic number.

It is not a de Polignac number, because 109201819201 - 217 = 109201688129 is a prime.

It is not a weakly prime, because it can be changed into another prime (109201819271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54600909600 + 54600909601.

It is an arithmetic number, because the mean of its divisors is an integer number (54600909601).

Almost surely, 2109201819201 is an apocalyptic number.

It is an amenable number.

109201819201 is a deficient number, since it is larger than the sum of its proper divisors (1).

109201819201 is an equidigital number, since it uses as much as digits as its factorization.

109201819201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 109201819201 in words is "one hundred nine billion, two hundred one million, eight hundred nineteen thousand, two hundred one".