Search a number
-
+
112111100221 is a prime number
BaseRepresentation
bin110100001101001010…
…1111010000100111101
3101201101012210222110011
41220122111322010331
53314100420201341
6123300401543221
711046134425411
oct1503225720475
9351335728404
10112111100221
114360087aa3a
1219889944b11
13a7589a3333
1455d771cd41
152db2603b81
hex1a1a57a13d

112111100221 has 2 divisors, whose sum is σ = 112111100222. Its totient is φ = 112111100220.

The previous prime is 112111100197. The next prime is 112111100279. The reversal of 112111100221 is 122001111211.

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., 56114976996 + 55996123225 = 236886^2 + 236635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112111100221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112111130221) 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, 56055550110 + 56055550111.

It is an arithmetic number, because the mean of its divisors is an integer number (56055550111).

Almost surely, 2112111100221 is an apocalyptic number.

It is an amenable number.

112111100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111100221 is an equidigital number, since it uses as much as digits as its factorization.

112111100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112111100221 its reverse (122001111211), we get a palindrome (234112211432).

The spelling of 112111100221 in words is "one hundred twelve billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".