Search a number
-
+
211332310201 is a prime number
BaseRepresentation
bin1100010011010001100…
…0110010010010111001
3202012111010000200122001
43010310120302102321
511430302032411301
6241030144501001
721161003666155
oct3046430622271
9665433020561
10211332310201
1181697641621
1234b5a91a761
1316c0c047c7c
14a32b176065
15576d2a5c01
hex31346324b9

211332310201 has 2 divisors, whose sum is σ = 211332310202. Its totient is φ = 211332310200.

The previous prime is 211332310177. The next prime is 211332310219. The reversal of 211332310201 is 102013233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203535420201 + 7796890000 = 451149^2 + 88300^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332310201 - 29 = 211332309689 is a prime.

It is a super-2 number, since 2×2113323102012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211332310261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666155100 + 105666155101.

It is an arithmetic number, because the mean of its divisors is an integer number (105666155101).

Almost surely, 2211332310201 is an apocalyptic number.

It is an amenable number.

211332310201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332310201 is an equidigital number, since it uses as much as digits as its factorization.

211332310201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211332310201 its reverse (102013233112), we get a palindrome (313345543313).

The spelling of 211332310201 in words is "two hundred eleven billion, three hundred thirty-two million, three hundred ten thousand, two hundred one".