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2138022241 is a prime number
BaseRepresentation
bin111111101101111…
…1010000101100001
312112000001210010221
41333123322011201
513334313202431
6552053123041
7103660613665
oct17733720541
95460053127
102138022241
119a7948833
124b8029481
13280c41424
14163d468a5
15c7a78111
hex7f6fa161

2138022241 has 2 divisors, whose sum is σ = 2138022242. Its totient is φ = 2138022240.

The previous prime is 2138022239. The next prime is 2138022281. The reversal of 2138022241 is 1422208312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809651600 + 328370641 = 42540^2 + 18121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138022241 - 21 = 2138022239 is a prime.

It is a super-2 number, since 2×21380222412 = 9142278206021324162, which contains 22 as substring.

Together with 2138022239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2138022281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1069011120 + 1069011121.

It is an arithmetic number, because the mean of its divisors is an integer number (1069011121).

Almost surely, 22138022241 is an apocalyptic number.

It is an amenable number.

2138022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138022241 is an equidigital number, since it uses as much as digits as its factorization.

2138022241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2138022241 is about 46238.7525891432. The cubic root of 2138022241 is about 1288.2616332004.

The spelling of 2138022241 in words is "two billion, one hundred thirty-eight million, twenty-two thousand, two hundred forty-one".