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2213125601 is a prime number
BaseRepresentation
bin1000001111101001…
…1001110111100001
312201020101102120212
42003322121313201
514013030004401
61003334543505
7105562154141
oct20372316741
95636342525
102213125601
11a36285025
12519207b95
13293678a9b
1416dcd6921
15ce460dbb
hex83e99de1

2213125601 has 2 divisors, whose sum is σ = 2213125602. Its totient is φ = 2213125600.

The previous prime is 2213125561. The next prime is 2213125627. The reversal of 2213125601 is 1065213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2092147600 + 120978001 = 45740^2 + 10999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213125601 - 210 = 2213124577 is a prime.

It is a super-2 number, since 2×22131256012 = 9795849851603222402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2213125661) 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, 1106562800 + 1106562801.

It is an arithmetic number, because the mean of its divisors is an integer number (1106562801).

Almost surely, 22213125601 is an apocalyptic number.

It is an amenable number.

2213125601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213125601 is an equidigital number, since it uses as much as digits as its factorization.

2213125601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2213125601 is about 47043.8688991456. The cubic root of 2213125601 is about 1303.1728418246.

Adding to 2213125601 its reverse (1065213122), we get a palindrome (3278338723).

The spelling of 2213125601 in words is "two billion, two hundred thirteen million, one hundred twenty-five thousand, six hundred one".