Search a number
-
+
211332311041 is a prime number
BaseRepresentation
bin1100010011010001100…
…0110010100000000001
3202012111010000201210011
43010310120302200001
511430302032423131
6241030144504521
721161004001465
oct3046430624001
9665433021704
10211332311041
1181697642215
1234b5a91b141
1316c0c048477
14a32b1764a5
15576d2a60b1
hex3134632801

211332311041 has 2 divisors, whose sum is σ = 211332311042. Its totient is φ = 211332311040.

The previous prime is 211332310979. The next prime is 211332311081. The reversal of 211332311041 is 140113233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204413398641 + 6918912400 = 452121^2 + 83180^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332311041 - 213 = 211332302849 is a prime.

It is a super-2 number, since 2×2113323110412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211332311081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666155520 + 105666155521.

It is an arithmetic number, because the mean of its divisors is an integer number (105666155521).

Almost surely, 2211332311041 is an apocalyptic number.

It is an amenable number.

211332311041 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332311041 is an equidigital number, since it uses as much as digits as its factorization.

211332311041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211332311041 its reverse (140113233112), we get a palindrome (351445544153).

The spelling of 211332311041 in words is "two hundred eleven billion, three hundred thirty-two million, three hundred eleven thousand, forty-one".