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20000122101217 is a prime number
BaseRepresentation
bin1001000110000101001000…
…01011000101110111100001
32121210222210220012220001001
410203002210023011313201
510110140222224214332
6110311532415112001
74132650445614046
oct443024413056741
977728726186031
1020000122101217
116411005584535
1222b01a8512601
13b2100769518b
144d20225631cd
1524a3b09540e7
hex1230a42c5de1

20000122101217 has 2 divisors, whose sum is σ = 20000122101218. Its totient is φ = 20000122101216.

The previous prime is 20000122101209. The next prime is 20000122101227. The reversal of 20000122101217 is 71210122100002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19959440824801 + 40681276416 = 4467599^2 + 201696^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000122101217 - 23 = 20000122101209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20000122101194 and 20000122101203.

It is not a weakly prime, because it can be changed into another prime (20000122101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000061050608 + 10000061050609.

It is an arithmetic number, because the mean of its divisors is an integer number (10000061050609).

Almost surely, 220000122101217 is an apocalyptic number.

It is an amenable number.

20000122101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000122101217 is an equidigital number, since it uses as much as digits as its factorization.

20000122101217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 20000122101217 its reverse (71210122100002), we get a palindrome (91210244201219).

The spelling of 20000122101217 in words is "twenty trillion, one hundred twenty-two million, one hundred one thousand, two hundred seventeen".