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2400442022201 is a prime number
BaseRepresentation
bin100010111011100101011…
…111100111100100111001
322111110221221011021102112
4202323211133213210321
5303312101124202301
65034425311142105
7335266122350366
oct42734537474471
98443857137375
102400442022201
11846026a3aa93
1232927b214935
1314548c6380c2
148427963546d
15426935da9bb
hex22ee57e7939

2400442022201 has 2 divisors, whose sum is σ = 2400442022202. Its totient is φ = 2400442022200.

The previous prime is 2400442022161. The next prime is 2400442022213. The reversal of 2400442022201 is 1022202440042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1601429506576 + 799012515625 = 1265476^2 + 893875^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400442022201 - 26 = 2400442022137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2400442022261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200221011100 + 1200221011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1200221011101).

Almost surely, 22400442022201 is an apocalyptic number.

It is an amenable number.

2400442022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400442022201 is an equidigital number, since it uses as much as digits as its factorization.

2400442022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2400442022201 its reverse (1022202440042), we get a palindrome (3422644462243).

The spelling of 2400442022201 in words is "two trillion, four hundred billion, four hundred forty-two million, twenty-two thousand, two hundred one".