Search a number
-
+
211630844881 is a prime number
BaseRepresentation
bin1100010100011000101…
…1100110101111010001
3202020020220202211020001
43011012023212233101
511431404444014011
6241115531250001
721201260333521
oct3050613465721
9666226684201
10211630844881
11818301050a5
12350228a9901
1316c58b51b01
14a358a87681
1557895c57c1
hex31462e6bd1

211630844881 has 2 divisors, whose sum is σ = 211630844882. Its totient is φ = 211630844880.

The previous prime is 211630844833. The next prime is 211630844897. The reversal of 211630844881 is 188448036112.

211630844881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197655822225 + 13975022656 = 444585^2 + 118216^2 .

It is a cyclic number.

It is not a de Polignac number, because 211630844881 - 219 = 211630320593 is a prime.

It is a super-2 number, since 2×2116308448812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211630854881) 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, 105815422440 + 105815422441.

It is an arithmetic number, because the mean of its divisors is an integer number (105815422441).

Almost surely, 2211630844881 is an apocalyptic number.

It is an amenable number.

211630844881 is a deficient number, since it is larger than the sum of its proper divisors (1).

211630844881 is an equidigital number, since it uses as much as digits as its factorization.

211630844881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 211630844881 in words is "two hundred eleven billion, six hundred thirty million, eight hundred forty-four thousand, eight hundred eighty-one".