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2414304013001 is a prime number
BaseRepresentation
bin100011001000011111101…
…110111010101011001001
322112210201222221100222012
4203020133232322223021
5304023443311404001
65045041013505305
7336266463336626
oct43103756725311
98483658840865
102414304013001
1185099a746931
1232baa9642235
1314688b485b1a
1484bd266534d
1542c0555c2bb
hex2321fbbaac9

2414304013001 has 2 divisors, whose sum is σ = 2414304013002. Its totient is φ = 2414304013000.

The previous prime is 2414304012977. The next prime is 2414304013039. The reversal of 2414304013001 is 1003104034142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1567353763600 + 846950249401 = 1251940^2 + 920299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2414304013001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2414304013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207152006500 + 1207152006501.

It is an arithmetic number, because the mean of its divisors is an integer number (1207152006501).

Almost surely, 22414304013001 is an apocalyptic number.

It is an amenable number.

2414304013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414304013001 is an equidigital number, since it uses as much as digits as its factorization.

2414304013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2414304013001 its reverse (1003104034142), we get a palindrome (3417408047143).

The spelling of 2414304013001 in words is "two trillion, four hundred fourteen billion, three hundred four million, thirteen thousand, one".