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2201112000821 is a prime number
BaseRepresentation
bin100000000001111100011…
…111111011100100110101
321210102110021120000211002
4200001330133323210311
5242030334133011241
64403102113053045
7315011415206666
oct40017437734465
97712407500732
102201112000821
11779539383728
122b670bb57185
1312c7440766a6
147876a51536d
153c3c8da889b
hex2007c7fb935

2201112000821 has 2 divisors, whose sum is σ = 2201112000822. Its totient is φ = 2201112000820.

The previous prime is 2201112000757. The next prime is 2201112000847. The reversal of 2201112000821 is 1280002111022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1988060520196 + 213051480625 = 1409986^2 + 461575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201112000821 - 26 = 2201112000757 is a prime.

It is a super-3 number, since 3×22011120008213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201112000793 and 2201112000802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201112002821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100556000410 + 1100556000411.

It is an arithmetic number, because the mean of its divisors is an integer number (1100556000411).

Almost surely, 22201112000821 is an apocalyptic number.

It is an amenable number.

2201112000821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201112000821 is an equidigital number, since it uses as much as digits as its factorization.

2201112000821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 2201112000821 its reverse (1280002111022), we get a palindrome (3481114111843).

The spelling of 2201112000821 in words is "two trillion, two hundred one billion, one hundred twelve million, eight hundred twenty-one", and thus it is an aban number.