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211274125009 is a prime number
BaseRepresentation
bin1100010011000011101…
…0110100111011010001
3202012100001112120112221
43010300322310323101
511430142134000014
6241020305421041
721156366301063
oct3046072647321
9665301476487
10211274125009
1181667810192
1234b4333a781
1316bccc8506c
14a32354b733
155768110b24
hex3130eb4ed1

211274125009 has 2 divisors, whose sum is σ = 211274125010. Its totient is φ = 211274125008.

The previous prime is 211274125001. The next prime is 211274125033. The reversal of 211274125009 is 900521472112.

211274125009 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., 164511360000 + 46762765009 = 405600^2 + 216247^2 .

It is a cyclic number.

It is not a de Polignac number, because 211274125009 - 23 = 211274125001 is a prime.

It is not a weakly prime, because it can be changed into another prime (211274125001) 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, 105637062504 + 105637062505.

It is an arithmetic number, because the mean of its divisors is an integer number (105637062505).

Almost surely, 2211274125009 is an apocalyptic number.

It is an amenable number.

211274125009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211274125009 is an equidigital number, since it uses as much as digits as its factorization.

211274125009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 211274125009 in words is "two hundred eleven billion, two hundred seventy-four million, one hundred twenty-five thousand, nine".