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2221111129 is a prime number
BaseRepresentation
bin1000010001100011…
…0111011101011001
312201210102010200011
42010120313131121
514022101024004
61004222041521
7106020063436
oct20430673531
95653363604
102221111129
11a3a839736
1251ba192a1
13295213753
14170db4b8d
15ceedc004
hex84637759

2221111129 has 2 divisors, whose sum is σ = 2221111130. Its totient is φ = 2221111128.

The previous prime is 2221111103. The next prime is 2221111133. The reversal of 2221111129 is 9211111222.

2221111129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1506992400 + 714118729 = 38820^2 + 26723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221111129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221121129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110555564 + 1110555565.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555565).

Almost surely, 22221111129 is an apocalyptic number.

It is an amenable number.

2221111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221111129 is an equidigital number, since it uses as much as digits as its factorization.

2221111129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 22.

The square root of 2221111129 is about 47128.6656823636. The cubic root of 2221111129 is about 1304.7383549868.

The spelling of 2221111129 in words is "two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-nine".