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2213402137 is a prime number
BaseRepresentation
bin1000001111101101…
…1101011000011001
312201020220110220221
42003323131120121
514013112332022
61003344520041
7105564415312
oct20373353031
95636813827
102213402137
11a36453871
12519320021
1329374490b
1416dd69609
15ce4b7cc7
hex83edd619

2213402137 has 2 divisors, whose sum is σ = 2213402138. Its totient is φ = 2213402136.

The previous prime is 2213402129. The next prime is 2213402203. The reversal of 2213402137 is 7312043122.

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., 1340731456 + 872670681 = 36616^2 + 29541^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213402137 - 23 = 2213402129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213402237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106701068 + 1106701069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106701069).

Almost surely, 22213402137 is an apocalyptic number.

It is an amenable number.

2213402137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213402137 is an equidigital number, since it uses as much as digits as its factorization.

2213402137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2213402137 is about 47046.8079363521. The cubic root of 2213402137 is about 1303.2271178820.

Adding to 2213402137 its reverse (7312043122), we get a palindrome (9525445259).

The spelling of 2213402137 in words is "two billion, two hundred thirteen million, four hundred two thousand, one hundred thirty-seven".