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2221120093 is a prime number
BaseRepresentation
bin1000010001100011…
…1001101001011101
312201210102120222011
42010120321221131
514022101320333
61004222151221
7106020131533
oct20430715135
95653376864
102221120093
11a3a845445
1251ba22511
1329521785a
14170db8153
15ceede9cd
hex84639a5d

2221120093 has 2 divisors, whose sum is σ = 2221120094. Its totient is φ = 2221120092.

The previous prime is 2221120087. The next prime is 2221120127. The reversal of 2221120093 is 3900211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2106993604 + 114126489 = 45902^2 + 10683^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221120093 is a prime.

It is a super-3 number, since 3×22211200933 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221120043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110560046 + 1110560047.

It is an arithmetic number, because the mean of its divisors is an integer number (1110560047).

Almost surely, 22221120093 is an apocalyptic number.

It is an amenable number.

2221120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221120093 is an equidigital number, since it uses as much as digits as its factorization.

2221120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2221120093 is about 47128.7607836234. The cubic root of 2221120093 is about 1304.7401102133.

The spelling of 2221120093 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, ninety-three".