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2100440029 is a prime number
BaseRepresentation
bin111110100110010…
…0010101111011101
312102101100102001011
41331030202233131
513300203040104
6544231415221
7103023305602
oct17514425735
95371312034
102100440029
11988709756
124a7524511
1327621322c
1415cd626a9
15c4602904
hex7d322bdd

2100440029 has 2 divisors, whose sum is σ = 2100440030. Its totient is φ = 2100440028.

The previous prime is 2100440003. The next prime is 2100440051. The reversal of 2100440029 is 9200440012.

It is an a-pointer prime, because the next prime (2100440051) can be obtained adding 2100440029 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1980428004 + 120012025 = 44502^2 + 10955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100440029 - 25 = 2100439997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100439991 and 2100440009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100440129) 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, 1050220014 + 1050220015.

It is an arithmetic number, because the mean of its divisors is an integer number (1050220015).

Almost surely, 22100440029 is an apocalyptic number.

It is an amenable number.

2100440029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100440029 is an equidigital number, since it uses as much as digits as its factorization.

2100440029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2100440029 is about 45830.5578080826. The cubic root of 2100440029 is about 1280.6686019107.

The spelling of 2100440029 in words is "two billion, one hundred million, four hundred forty thousand, twenty-nine".