Search a number
-
+
211332512173 is a prime number
BaseRepresentation
bin1100010011010001100…
…1100011100110101101
3202012111010101221200111
43010310121203212231
511430302110342143
6241030153100021
721161005500046
oct3046431434655
9665433357614
10211332512173
118169776a342
1234b5a9b7611
1316c0c0b8b93
14a32b1c98cd
15576d2e599d
hex31346639ad

211332512173 has 2 divisors, whose sum is σ = 211332512174. Its totient is φ = 211332512172.

The previous prime is 211332512137. The next prime is 211332512207. The reversal of 211332512173 is 371215233112.

211332512173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (211332512137) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198967739364 + 12364772809 = 446058^2 + 111197^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332512173 - 213 = 211332503981 is a prime.

It is a super-2 number, since 2×2113325121732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211332512873) 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, 105666256086 + 105666256087.

It is an arithmetic number, because the mean of its divisors is an integer number (105666256087).

Almost surely, 2211332512173 is an apocalyptic number.

It is an amenable number.

211332512173 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332512173 is an equidigital number, since it uses as much as digits as its factorization.

211332512173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

Adding to 211332512173 its reverse (371215233112), we get a palindrome (582547745285).

The spelling of 211332512173 in words is "two hundred eleven billion, three hundred thirty-two million, five hundred twelve thousand, one hundred seventy-three".