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20011001222081 is a prime number
BaseRepresentation
bin1001000110011001011001…
…00111101001001111000001
32121212000220002012111021102
410203030230213221033001
510110330012303101311
6110320532124304145
74133514156614432
oct443145447511701
977760802174242
1020011001222081
116415688560011
1222b23239a2055
13b2204c5486bc
144d2775369489
1524a7eaab743b
hex12332c9e93c1

20011001222081 has 2 divisors, whose sum is σ = 20011001222082. Its totient is φ = 20011001222080.

The previous prime is 20011001222063. The next prime is 20011001222117. The reversal of 20011001222081 is 18022210011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15605028102400 + 4405973119681 = 3950320^2 + 2099041^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011001222081 - 238 = 19736123315137 is a prime.

It is a super-3 number, since 3×200110012220813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (20011001222011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005500611040 + 10005500611041.

It is an arithmetic number, because the mean of its divisors is an integer number (10005500611041).

Almost surely, 220011001222081 is an apocalyptic number.

It is an amenable number.

20011001222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011001222081 is an equidigital number, since it uses as much as digits as its factorization.

20011001222081 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20011001222081 its reverse (18022210011002), we get a palindrome (38033211233083).

The spelling of 20011001222081 in words is "twenty trillion, eleven billion, one million, two hundred twenty-two thousand, eighty-one".