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2401000001 is a prime number
BaseRepresentation
bin1000111100011100…
…0101101001000001
320012022220102210222
42033013011221001
514404124000001
61034125432425
7113333110001
oct21707055101
96168812728
102401000001
111022335924
1257010b715
132c3578b7a
1418ac40001
15e0bc261b
hex8f1c5a41

2401000001 has 2 divisors, whose sum is σ = 2401000002. Its totient is φ = 2401000000.

The previous prime is 2400999989. The next prime is 2401000009. The reversal of 2401000001 is 1000001042.

It is a Cunningham number, because it is equal to 490002+1.

It is an a-pointer prime, because the next prime (2401000009) can be obtained adding 2401000001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2401000000 + 1 = 49000^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2401000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2401000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200500000 + 1200500001.

It is an arithmetic number, because the mean of its divisors is an integer number (1200500001).

Almost surely, 22401000001 is an apocalyptic number.

It is an amenable number.

2401000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401000001 is an equidigital number, since it uses as much as digits as its factorization.

2401000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2401000001 is about 49000.0000102041. Note that the first 4 decimals coincide. The cubic root of 2401000001 is about 1339.0518281266.

Adding to 2401000001 its reverse (1000001042), we get a palindrome (3401001043).

The spelling of 2401000001 in words is "two billion, four hundred one million, one", and thus it is an aban number.