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2240100001 is a prime number
BaseRepresentation
bin1000010110000101…
…0011011010100001
312210010010212111201
42011201103122201
514041431200001
61010141041201
7106340351536
oct20541233241
95703125451
102240100001
11a4a529317
12526256201
13299131879
14173718d8d
15d19dd501
hex858536a1

2240100001 has 2 divisors, whose sum is σ = 2240100002. Its totient is φ = 2240100000.

The previous prime is 2240099993. The next prime is 2240100029. The reversal of 2240100001 is 1000010422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2145912976 + 94187025 = 46324^2 + 9705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240100001 - 23 = 2240099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2240100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120050000 + 1120050001.

It is an arithmetic number, because the mean of its divisors is an integer number (1120050001).

Almost surely, 22240100001 is an apocalyptic number.

It is an amenable number.

2240100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240100001 is an equidigital number, since it uses as much as digits as its factorization.

2240100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2240100001 is about 47329.6947063891. The cubic root of 2240100001 is about 1308.4459946132.

Adding to 2240100001 its reverse (1000010422), we get a palindrome (3240110423).

The spelling of 2240100001 in words is "two billion, two hundred forty million, one hundred thousand, one".