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2124240101 is a prime number
BaseRepresentation
bin111111010011101…
…0101010011100101
312111001010120121022
41332213111103211
513322301140401
6550441500525
7103432512554
oct17647252345
95431116538
102124240101
119a0095035
124b34a1745
1327b127209
14162199d9b
15c675471b
hex7e9d54e5

2124240101 has 2 divisors, whose sum is σ = 2124240102. Its totient is φ = 2124240100.

The previous prime is 2124240091. The next prime is 2124240113. The reversal of 2124240101 is 1010424212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1224300100 + 899940001 = 34990^2 + 29999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2124240101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2124240101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124240161) 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, 1062120050 + 1062120051.

It is an arithmetic number, because the mean of its divisors is an integer number (1062120051).

Almost surely, 22124240101 is an apocalyptic number.

It is an amenable number.

2124240101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124240101 is an equidigital number, since it uses as much as digits as its factorization.

2124240101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2124240101 is about 46089.4792875771. The cubic root of 2124240101 is about 1285.4875288772.

Adding to 2124240101 its reverse (1010424212), we get a palindrome (3134664313).

The spelling of 2124240101 in words is "two billion, one hundred twenty-four million, two hundred forty thousand, one hundred one".