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22223300112001 is a prime number
BaseRepresentation
bin1010000110110010000111…
…11010001010111010000001
32220200112012222212100222101
411003121003322022322001
510403101304312041001
6115133124303310401
74452403044120442
oct503310372127201
986615188770871
1022223300112001
11709893760a02a
1225ab0362ab401
13c528571631a1
1456b8834bd2c9
1528812bb29a01
hex143643e8ae81

22223300112001 has 2 divisors, whose sum is σ = 22223300112002. Its totient is φ = 22223300112000.

The previous prime is 22223300111981. The next prime is 22223300112007. The reversal of 22223300112001 is 10021100332222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19339413475600 + 2883886636401 = 4397660^2 + 1698201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22223300112001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22223300112001.

It is not a weakly prime, because it can be changed into another prime (22223300112007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111650056000 + 11111650056001.

It is an arithmetic number, because the mean of its divisors is an integer number (11111650056001).

Almost surely, 222223300112001 is an apocalyptic number.

It is an amenable number.

22223300112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22223300112001 is an equidigital number, since it uses as much as digits as its factorization.

22223300112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22223300112001 its reverse (10021100332222), we get a palindrome (32244400444223).

The spelling of 22223300112001 in words is "twenty-two trillion, two hundred twenty-three billion, three hundred million, one hundred twelve thousand, one".