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220013101001 is a prime number
BaseRepresentation
bin1100110011100111001…
…1010111111111001001
3210000220002110112221102
43030321303113333021
512101041323213001
6245023404151145
721616062334151
oct3147163277711
9700802415842
10220013101001
11853417291a1
1236781b384b5
1317993632c85
14a912017761
155aca42be6b
hex3339cd7fc9

220013101001 has 2 divisors, whose sum is σ = 220013101002. Its totient is φ = 220013101000.

The previous prime is 220013100997. The next prime is 220013101019. The reversal of 220013101001 is 100101310022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187749756601 + 32263344400 = 433301^2 + 179620^2 .

It is a cyclic number.

It is not a de Polignac number, because 220013101001 - 22 = 220013100997 is a prime.

It is a super-2 number, since 2×2200131010012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220013101801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110006550500 + 110006550501.

It is an arithmetic number, because the mean of its divisors is an integer number (110006550501).

Almost surely, 2220013101001 is an apocalyptic number.

It is an amenable number.

220013101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220013101001 is an equidigital number, since it uses as much as digits as its factorization.

220013101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 220013101001 its reverse (100101310022), we get a palindrome (320114411023).

The spelling of 220013101001 in words is "two hundred twenty billion, thirteen million, one hundred one thousand, one".