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2278112101 is a prime number
BaseRepresentation
bin1000011111001001…
…0011101101100101
312212202200002022021
42013302103231211
514131144041401
61014015503141
7110311430146
oct20762235545
95782602267
102278112101
11a69a31381
12536b27ab1
132a3c80635
141787b1acd
15d4eeb2a1
hex87c93b65

2278112101 has 2 divisors, whose sum is σ = 2278112102. Its totient is φ = 2278112100.

The previous prime is 2278112063. The next prime is 2278112113. The reversal of 2278112101 is 1012118722.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1870476001 + 407636100 = 43249^2 + 20190^2 .

It is a cyclic number.

It is not a de Polignac number, because 2278112101 - 211 = 2278110053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2278112191) 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, 1139056050 + 1139056051.

It is an arithmetic number, because the mean of its divisors is an integer number (1139056051).

Almost surely, 22278112101 is an apocalyptic number.

It is an amenable number.

2278112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2278112101 is an equidigital number, since it uses as much as digits as its factorization.

2278112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 2278112101 is about 47729.5726044137. The cubic root of 2278112101 is about 1315.8054987735.

The spelling of 2278112101 in words is "two billion, two hundred seventy-eight million, one hundred twelve thousand, one hundred one".