Search a number
-
+
2112189949 is a prime number
BaseRepresentation
bin111110111100101…
…0111010111111101
312110012110100220101
41331321113113331
513311210034244
6545331321101
7103225214122
oct17571272775
95405410811
102112189949
11994304631
124ab450191
1327879844c
14160740749
15c56740d4
hex7de575fd

2112189949 has 2 divisors, whose sum is σ = 2112189950. Its totient is φ = 2112189948.

The previous prime is 2112189943. The next prime is 2112189953. The reversal of 2112189949 is 9499812112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 83137924 = 45045^2 + 9118^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112189949 - 215 = 2112157181 is a prime.

It is a super-2 number, since 2×21121899492 = 8922692761313245202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112189899 and 2112189908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112189943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056094974 + 1056094975.

It is an arithmetic number, because the mean of its divisors is an integer number (1056094975).

Almost surely, 22112189949 is an apocalyptic number.

It is an amenable number.

2112189949 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112189949 is an equidigital number, since it uses as much as digits as its factorization.

2112189949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 46.

The square root of 2112189949 is about 45958.5677431314. The cubic root of 2112189949 is about 1283.0521947303.

The spelling of 2112189949 in words is "two billion, one hundred twelve million, one hundred eighty-nine thousand, nine hundred forty-nine".