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2213132101 is a prime number
BaseRepresentation
bin1000001111101001…
…1011011101000101
312201020101202111121
42003322123131011
514013030211401
61003335033541
7105562212115
oct20372333505
95636352447
102213132101
11a362899a4
1251920b8b1
1329367ba2b
1416dcd9045
15ce462ca1
hex83e9b745

2213132101 has 2 divisors, whose sum is σ = 2213132102. Its totient is φ = 2213132100.

The previous prime is 2213131931. The next prime is 2213132107. The reversal of 2213132101 is 1012313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2029502500 + 183629601 = 45050^2 + 13551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213132101 - 29 = 2213131589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213132107) 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, 1106566050 + 1106566051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106566051).

Almost surely, 22213132101 is an apocalyptic number.

It is an amenable number.

2213132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213132101 is an equidigital number, since it uses as much as digits as its factorization.

2213132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2213132101 is about 47043.9379835490. The cubic root of 2213132101 is about 1303.1741176394.

Adding to 2213132101 its reverse (1012313122), we get a palindrome (3225445223).

The spelling of 2213132101 in words is "two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred one".