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212101123249 is a prime number
BaseRepresentation
bin1100010110001000110…
…1100100110010110001
3202021110200200102212101
43011202031210302301
511433340341420444
6241234331100401
721216030541501
oct3054215446261
9667420612771
10212101123249
1181a51611204
12351342a1701
13170023cb832
14a3a1303a01
1557b5a1c3d4
hex3162364cb1

212101123249 has 2 divisors, whose sum is σ = 212101123250. Its totient is φ = 212101123248.

The previous prime is 212101123189. The next prime is 212101123259. The reversal of 212101123249 is 942321101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199658836224 + 12442287025 = 446832^2 + 111545^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101123249 - 27 = 212101123121 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101123259) 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, 106050561624 + 106050561625.

It is an arithmetic number, because the mean of its divisors is an integer number (106050561625).

Almost surely, 2212101123249 is an apocalyptic number.

It is an amenable number.

212101123249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101123249 is an equidigital number, since it uses as much as digits as its factorization.

212101123249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 212101123249 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-three thousand, two hundred forty-nine".