Search a number
-
+
2011033117 is a prime number
BaseRepresentation
bin111011111011101…
…1110111000011101
312012011010001211001
41313313132320131
513104311024432
6531315230301
7100556333212
oct16767367035
95164101731
102011033117
119421a2a45
124815a8391
1326083b232
1415112bb09
15bb8419e7
hex77ddee1d

2011033117 has 2 divisors, whose sum is σ = 2011033118. Its totient is φ = 2011033116.

The previous prime is 2011033111. The next prime is 2011033153. The reversal of 2011033117 is 7113301102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1779658596 + 231374521 = 42186^2 + 15211^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011033117 - 23 = 2011033109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011033094 and 2011033103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011033111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005516558 + 1005516559.

It is an arithmetic number, because the mean of its divisors is an integer number (1005516559).

Almost surely, 22011033117 is an apocalyptic number.

It is an amenable number.

2011033117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011033117 is an equidigital number, since it uses as much as digits as its factorization.

2011033117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2011033117 is about 44844.5438933211. The cubic root of 2011033117 is about 1262.2336120246.

Adding to 2011033117 its reverse (7113301102), we get a palindrome (9124334219).

The spelling of 2011033117 in words is "two billion, eleven million, thirty-three thousand, one hundred seventeen".