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2112648401 is a prime number
BaseRepresentation
bin111110111101100…
…0111010011010001
312110020022122210002
41331323013103101
513311314222101
6545345215345
7103232133533
oct17573072321
95406278702
102112648401
11994598016
124ab631555
132788c9016
1416081d853
15c5714d6b
hex7dec74d1

2112648401 has 2 divisors, whose sum is σ = 2112648402. Its totient is φ = 2112648400.

The previous prime is 2112648389. The next prime is 2112648413. The reversal of 2112648401 is 1048462112.

It is a balanced prime because it is at equal distance from previous prime (2112648389) and next prime (2112648413).

It can be written as a sum of positive squares in only one way, i.e., 1859679376 + 252969025 = 43124^2 + 15905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112648401 - 210 = 2112647377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112648491) 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, 1056324200 + 1056324201.

It is an arithmetic number, because the mean of its divisors is an integer number (1056324201).

Almost surely, 22112648401 is an apocalyptic number.

It is an amenable number.

2112648401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112648401 is an equidigital number, since it uses as much as digits as its factorization.

2112648401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2112648401 is about 45963.5551388271. Note that the first 3 decimals coincide. The cubic root of 2112648401 is about 1283.1450170784.

The spelling of 2112648401 in words is "two billion, one hundred twelve million, six hundred forty-eight thousand, four hundred one".