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2001122117 is a prime number
BaseRepresentation
bin111011101000110…
…1011001101000101
312011110110112110222
41313101223031011
513044241401432
6530322554125
7100406154161
oct16721531505
95143415428
102001122117
11937643735
1247a208945
1325b77b037
1414daabca1
15baa35112
hex7746b345

2001122117 has 2 divisors, whose sum is σ = 2001122118. Its totient is φ = 2001122116.

The previous prime is 2001122099. The next prime is 2001122143. The reversal of 2001122117 is 7112211002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1602480961 + 398641156 = 40031^2 + 19966^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001122117 - 28 = 2001121861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001122095 and 2001122104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000561058 + 1000561059.

It is an arithmetic number, because the mean of its divisors is an integer number (1000561059).

Almost surely, 22001122117 is an apocalyptic number.

It is an amenable number.

2001122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001122117 is an equidigital number, since it uses as much as digits as its factorization.

2001122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 2001122117 is about 44733.9034402320. The cubic root of 2001122117 is about 1260.1566356460.

Adding to 2001122117 its reverse (7112211002), we get a palindrome (9113333119).

The spelling of 2001122117 in words is "two billion, one million, one hundred twenty-two thousand, one hundred seventeen".