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2223223001201 is a prime number
BaseRepresentation
bin100000010110100010011…
…010101101000001110001
321212112112020022020012002
4200112202122231001301
5242411130042014301
64421200132343345
7316423352464646
oct40264232550161
97775466266162
102223223001201
11787955474564
122baa60a74b55
13131858bc1177
1479866d0bdcd
153cc7011116b
hex205a26ad071

2223223001201 has 2 divisors, whose sum is σ = 2223223001202. Its totient is φ = 2223223001200.

The previous prime is 2223223001141. The next prime is 2223223001203. The reversal of 2223223001201 is 1021003223222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2212061290000 + 11161711201 = 1487300^2 + 105649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223223001201 is a prime.

Together with 2223223001203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2223223001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111611500600 + 1111611500601.

It is an arithmetic number, because the mean of its divisors is an integer number (1111611500601).

Almost surely, 22223223001201 is an apocalyptic number.

It is an amenable number.

2223223001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223223001201 is an equidigital number, since it uses as much as digits as its factorization.

2223223001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2223223001201 its reverse (1021003223222), we get a palindrome (3244226224423).

The spelling of 2223223001201 in words is "two trillion, two hundred twenty-three billion, two hundred twenty-three million, one thousand, two hundred one".