Search a number
-
+
1122112112221 is a prime number
BaseRepresentation
bin10000010101000011000…
…110000000011001011101
310222021100220220110021001
4100111003012000121131
5121341041200042341
62215254032510301
7144032661403012
oct20250306003135
93867326813231
101122112112221
113a2981041201
121615810ab391
1381a78c21b49
143c44c0ad709
151e2c6d77d31
hex1054318065d

1122112112221 has 2 divisors, whose sum is σ = 1122112112222. Its totient is φ = 1122112112220.

The previous prime is 1122112112207. The next prime is 1122112112239. The reversal of 1122112112221 is 1222112112211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1120020056100 + 2092056121 = 1058310^2 + 45739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122112112221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1122112112021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561056056110 + 561056056111.

It is an arithmetic number, because the mean of its divisors is an integer number (561056056111).

Almost surely, 21122112112221 is an apocalyptic number.

It is an amenable number.

1122112112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122112112221 is an equidigital number, since it uses as much as digits as its factorization.

1122112112221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 19.

Adding to 1122112112221 its reverse (1222112112211), we get a palindrome (2344224224432).

The spelling of 1122112112221 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".