Search a number
-
+
212112209929 is a prime number
BaseRepresentation
bin1100010110001011011…
…1110111100000001001
3202021111110112200221011
43011202313313200021
511433401211204204
6241235404443521
721216224015254
oct3054267674011
9667443480834
10212112209929
1181a578a3854
1235137b495a1
13170047b0bb9
14a3a298c09b
1557b69ac304
hex3162df7809

212112209929 has 2 divisors, whose sum is σ = 212112209930. Its totient is φ = 212112209928.

The previous prime is 212112209843. The next prime is 212112209989. The reversal of 212112209929 is 929902211212.

212112209929 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., 135039345529 + 77072864400 = 367477^2 + 277620^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112209929 - 215 = 212112177161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112209891 and 212112209900.

It is not a weakly prime, because it can be changed into another prime (212112209989) 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, 106056104964 + 106056104965.

It is an arithmetic number, because the mean of its divisors is an integer number (106056104965).

Almost surely, 2212112209929 is an apocalyptic number.

It is an amenable number.

212112209929 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112209929 is an equidigital number, since it uses as much as digits as its factorization.

212112209929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 212112209929 in words is "two hundred twelve billion, one hundred twelve million, two hundred nine thousand, nine hundred twenty-nine".