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2110111301 is a prime number
BaseRepresentation
bin111110111000101…
…1011111001000101
312110001112202112102
41331301123321011
513310142030201
6545215001445
7103201435664
oct17561337105
95401482472
102110111301
11993114941
124aa809285
1327821b28c
1416035cddb
15c53b326b
hex7dc5be45

2110111301 has 2 divisors, whose sum is σ = 2110111302. Its totient is φ = 2110111300.

The previous prime is 2110111277. The next prime is 2110111303. The reversal of 2110111301 is 1031110112.

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., 2063884900 + 46226401 = 45430^2 + 6799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2110111301 is a prime.

Together with 2110111303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110111303) 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, 1055055650 + 1055055651.

It is an arithmetic number, because the mean of its divisors is an integer number (1055055651).

Almost surely, 22110111301 is an apocalyptic number.

It is an amenable number.

2110111301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110111301 is an equidigital number, since it uses as much as digits as its factorization.

2110111301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 2110111301 is about 45935.9478077899. The cubic root of 2110111301 is about 1282.6311642187.

Adding to 2110111301 its reverse (1031110112), we get a palindrome (3141221413).

The spelling of 2110111301 in words is "two billion, one hundred ten million, one hundred eleven thousand, three hundred one".