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211332431201 is a prime number
BaseRepresentation
bin1100010011010001100…
…1001111110101100001
3202012111010020211121112
43010310121033311201
511430302100244301
6241030151233105
721161005012013
oct3046431176541
9665433224545
10211332431201
1181697714521
1234b5a978795
1316c0c08b078
14a32b1a81b3
15576d2cb9bb
hex313464fd61

211332431201 has 2 divisors, whose sum is σ = 211332431202. Its totient is φ = 211332431200.

The previous prime is 211332431183. The next prime is 211332431227. The reversal of 211332431201 is 102134233112.

211332431201 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., 154980792976 + 56351638225 = 393676^2 + 237385^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332431201 - 26 = 211332431137 is a prime.

It is a super-2 number, since 2×2113324312012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211332431251) 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, 105666215600 + 105666215601.

It is an arithmetic number, because the mean of its divisors is an integer number (105666215601).

Almost surely, 2211332431201 is an apocalyptic number.

It is an amenable number.

211332431201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332431201 is an equidigital number, since it uses as much as digits as its factorization.

211332431201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 211332431201 its reverse (102134233112), we get a palindrome (313466664313).

The spelling of 211332431201 in words is "two hundred eleven billion, three hundred thirty-two million, four hundred thirty-one thousand, two hundred one".