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212144240093 is a prime number
BaseRepresentation
bin1100010110010011001…
…0000011010111011101
3202021120200211000001112
43011210302003113131
511433432411140333
6241242511151405
721220063200542
oct3054462032735
9667520730045
10212144240093
1181a73990565
1235146815565
131700b316c66
14a3a6d28bc9
1557b96d7948
hex3164c835dd

212144240093 has 2 divisors, whose sum is σ = 212144240094. Its totient is φ = 212144240092.

The previous prime is 212144240069. The next prime is 212144240141. The reversal of 212144240093 is 390042441212.

212144240093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166985015044 + 45159225049 = 408638^2 + 212507^2 .

It is a cyclic number.

It is not a de Polignac number, because 212144240093 - 220 = 212143191517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212140240093) 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, 106072120046 + 106072120047.

It is an arithmetic number, because the mean of its divisors is an integer number (106072120047).

Almost surely, 2212144240093 is an apocalyptic number.

It is an amenable number.

212144240093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212144240093 is an equidigital number, since it uses as much as digits as its factorization.

212144240093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 212144240093 in words is "two hundred twelve billion, one hundred forty-four million, two hundred forty thousand, ninety-three".