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2212312301 is a prime number
BaseRepresentation
bin1000001111011101…
…0011010011101101
312201011212002221122
42003313103103231
514012322443201
61003305310325
7105552226043
oct20367232355
95634762848
102212312301
11a35879a81
12518a953a5
13293452844
1416db64393
15ce34ee1b
hex83dd34ed

2212312301 has 2 divisors, whose sum is σ = 2212312302. Its totient is φ = 2212312300.

The previous prime is 2212312259. The next prime is 2212312327. The reversal of 2212312301 is 1032132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2211820900 + 491401 = 47030^2 + 701^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212312301 - 26 = 2212312237 is a prime.

It is a super-3 number, since 3×22123123013 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2212312301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212312331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106156150 + 1106156151.

It is an arithmetic number, because the mean of its divisors is an integer number (1106156151).

Almost surely, 22212312301 is an apocalyptic number.

It is an amenable number.

2212312301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212312301 is an equidigital number, since it uses as much as digits as its factorization.

2212312301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2212312301 is about 47035.2240453896. The cubic root of 2212312301 is about 1303.0131882365.

Adding to 2212312301 its reverse (1032132122), we get a palindrome (3244444423).

The spelling of 2212312301 in words is "two billion, two hundred twelve million, three hundred twelve thousand, three hundred one".