Search a number
-
+
212222199977 is a prime number
BaseRepresentation
bin1100010110100101101…
…1011100100010101001
3202021210010111202220122
43011221123130202221
511434112340344402
6241254334133025
721222030636044
oct3055133344251
9667703452818
10212222199977
1182003998a17
1235168951175
1317021511878
14a3b341dc5b
1557c1486ca2
hex31696dc8a9

212222199977 has 2 divisors, whose sum is σ = 212222199978. Its totient is φ = 212222199976.

The previous prime is 212222199947. The next prime is 212222200007. The reversal of 212222199977 is 779991222212.

212222199977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (212222199947) and next prime (212222200007).

It can be written as a sum of positive squares in only one way, i.e., 166810163776 + 45412036201 = 408424^2 + 213101^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222199977 - 210 = 212222198953 is a prime.

It is not a weakly prime, because it can be changed into another prime (212222199947) 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, 106111099988 + 106111099989.

It is an arithmetic number, because the mean of its divisors is an integer number (106111099989).

Almost surely, 2212222199977 is an apocalyptic number.

It is an amenable number.

212222199977 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222199977 is an equidigital number, since it uses as much as digits as its factorization.

212222199977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1143072, while the sum is 53.

The spelling of 212222199977 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred ninety-nine thousand, nine hundred seventy-seven".