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211311306749 is a prime number
BaseRepresentation
bin1100010011001100100…
…0101010011111111101
3202012102122111121022102
43010303020222133331
511430231143303444
6241024114354445
721160330320464
oct3046310523775
9665378447272
10211311306749
11816867a63a4
1234b5388ba25
1316c078a2baa
14a3284699db
15576b50784e
hex313322a7fd

211311306749 has 2 divisors, whose sum is σ = 211311306750. Its totient is φ = 211311306748.

The previous prime is 211311306743. The next prime is 211311306757. The reversal of 211311306749 is 947603113112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187043275225 + 24268031524 = 432485^2 + 155782^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211311306749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211311306743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105655653374 + 105655653375.

It is an arithmetic number, because the mean of its divisors is an integer number (105655653375).

Almost surely, 2211311306749 is an apocalyptic number.

It is an amenable number.

211311306749 is a deficient number, since it is larger than the sum of its proper divisors (1).

211311306749 is an equidigital number, since it uses as much as digits as its factorization.

211311306749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 211311306749 in words is "two hundred eleven billion, three hundred eleven million, three hundred six thousand, seven hundred forty-nine".