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2212123201 is a prime number
BaseRepresentation
bin1000001111011010…
…0101001001000001
312201011111111112221
42003312211021001
514012300420301
61003301251041
7105550510531
oct20366451101
95634444487
102212123201
11a3575a9a2
12518a03a81
132933b7752
1416db154c1
15ce313da1
hex83da5241

2212123201 has 2 divisors, whose sum is σ = 2212123202. Its totient is φ = 2212123200.

The previous prime is 2212123189. The next prime is 2212123217. The reversal of 2212123201 is 1023212122.

It is a happy number.

It is an a-pointer prime, because the next prime (2212123217) can be obtained adding 2212123201 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1584119601 + 628003600 = 39801^2 + 25060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212123201 - 217 = 2211992129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212123271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106061600 + 1106061601.

It is an arithmetic number, because the mean of its divisors is an integer number (1106061601).

Almost surely, 22212123201 is an apocalyptic number.

It is an amenable number.

2212123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212123201 is an equidigital number, since it uses as much as digits as its factorization.

2212123201 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2212123201 is about 47033.2138068408. The cubic root of 2212123201 is about 1302.9760616496.

Adding to 2212123201 its reverse (1023212122), we get a palindrome (3235335323).

The spelling of 2212123201 in words is "two billion, two hundred twelve million, one hundred twenty-three thousand, two hundred one".