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220122112212133 is a prime number
BaseRepresentation
bin110010000011001100101100…
…010011100011110010100101
31001212101110122110202200001121
4302003030230103203302211
5212322440041211242013
62100054411412053541
764236204100120615
oct6203145423436245
91055343573680047
10220122112212133
116415729985476a
12208311820042b1
1395a9570232531
143c4dd77932a45
151a6ad3455658d
hexc8332c4e3ca5

220122112212133 has 2 divisors, whose sum is σ = 220122112212134. Its totient is φ = 220122112212132.

The previous prime is 220122112212103. The next prime is 220122112212139. The reversal of 220122112212133 is 331212211221022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218797879745124 + 1324232467009 = 14791818^2 + 1150753^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122112212133 - 213 = 220122112203941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220122112212098 and 220122112212107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220122112212139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061056106066 + 110061056106067.

It is an arithmetic number, because the mean of its divisors is an integer number (110061056106067).

Almost surely, 2220122112212133 is an apocalyptic number.

It is an amenable number.

220122112212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122112212133 is an equidigital number, since it uses as much as digits as its factorization.

220122112212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 220122112212133 its reverse (331212211221022), we get a palindrome (551334323433155).

The spelling of 220122112212133 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, one hundred thirty-three".