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211431433457 is a prime number
BaseRepresentation
bin1100010011101001001…
…0111010010011110001
3202012202000112200011202
43010322102322103301
511431002421332312
6241044045220545
721163316350226
oct3047222722361
9665660480152
10211431433457
1181738594372
1234b87b61755
1316c2674269a
14a33a3b994d
155776d359c2
hex313a4ba4f1

211431433457 has 2 divisors, whose sum is σ = 211431433458. Its totient is φ = 211431433456.

The previous prime is 211431433373. The next prime is 211431433459. The reversal of 211431433457 is 754334134112.

211431433457 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., 208292744881 + 3138688576 = 456391^2 + 56024^2 .

It is a cyclic number.

It is not a de Polignac number, because 211431433457 - 212 = 211431429361 is a prime.

Together with 211431433459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211431433457.

It is not a weakly prime, because it can be changed into another prime (211431433459) 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, 105715716728 + 105715716729.

It is an arithmetic number, because the mean of its divisors is an integer number (105715716729).

Almost surely, 2211431433457 is an apocalyptic number.

It is an amenable number.

211431433457 is a deficient number, since it is larger than the sum of its proper divisors (1).

211431433457 is an equidigital number, since it uses as much as digits as its factorization.

211431433457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 38.

Adding to 211431433457 its reverse (754334134112), we get a palindrome (965765567569).

The spelling of 211431433457 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-three thousand, four hundred fifty-seven".