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2201132221 is a prime number
BaseRepresentation
bin1000001100110010…
…1001110010111101
312200101211002202121
42003030221302331
514001442212341
61002225522541
7105355213051
oct20314516275
95611732677
102201132221
11a2a533242
125151a3451
13291039b02
1416c493c61
15cd3924d1
hex83329cbd

2201132221 has 2 divisors, whose sum is σ = 2201132222. Its totient is φ = 2201132220.

The previous prime is 2201132149. The next prime is 2201132231. The reversal of 2201132221 is 1222311022.

It is a happy number.

2201132221 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., 1937232196 + 263900025 = 44014^2 + 16245^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201132221 - 27 = 2201132093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201132195 and 2201132204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201132231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100566110 + 1100566111.

It is an arithmetic number, because the mean of its divisors is an integer number (1100566111).

Almost surely, 22201132221 is an apocalyptic number.

It is an amenable number.

2201132221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201132221 is an equidigital number, since it uses as much as digits as its factorization.

2201132221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2201132221 is about 46916.2255621656. The cubic root of 2201132221 is about 1300.8145232765.

Adding to 2201132221 its reverse (1222311022), we get a palindrome (3423443243).

The spelling of 2201132221 in words is "two billion, two hundred one million, one hundred thirty-two thousand, two hundred twenty-one".