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212144402201 is a prime number
BaseRepresentation
bin1100010110010011001…
…0101010111100011001
3202021120201010020102112
43011210302222330121
511433432431332301
6241242514442105
721220064444264
oct3054462527431
9667521106375
10212144402201
1181a73a91336
1235146893335
131700b372994
14a3a6d6bcdb
1557b971a9bb
hex3164caaf19

212144402201 has 2 divisors, whose sum is σ = 212144402202. Its totient is φ = 212144402200.

The previous prime is 212144402191. The next prime is 212144402209. The reversal of 212144402201 is 102204441212.

212144402201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182119830025 + 30024572176 = 426755^2 + 173276^2 .

It is a cyclic number.

It is not a de Polignac number, because 212144402201 - 26 = 212144402137 is a prime.

It is not a weakly prime, because it can be changed into another prime (212144402209) 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, 106072201100 + 106072201101.

It is an arithmetic number, because the mean of its divisors is an integer number (106072201101).

Almost surely, 2212144402201 is an apocalyptic number.

It is an amenable number.

212144402201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212144402201 is an equidigital number, since it uses as much as digits as its factorization.

212144402201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 212144402201 its reverse (102204441212), we get a palindrome (314348843413).

The spelling of 212144402201 in words is "two hundred twelve billion, one hundred forty-four million, four hundred two thousand, two hundred one".