Search a number
-
+
1101112011217 is a prime number
BaseRepresentation
bin10000000001011111011…
…000111110100111010001
310220021011101111210100101
4100001133120332213101
5121020034133324332
62201502135452401
7142360403444521
oct20013730764721
93807141453311
101101112011217
11394a8502a529
121594a0227101
137cab02a308a
143b419051681
151d99840aae7
hex1005f63e9d1

1101112011217 has 2 divisors, whose sum is σ = 1101112011218. Its totient is φ = 1101112011216.

The previous prime is 1101112011047. The next prime is 1101112011227. The reversal of 1101112011217 is 7121102111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 596669733136 + 504442278081 = 772444^2 + 710241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1101112011217 is a prime.

It is a super-2 number, since 2×11011120112172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101112011194 and 1101112011203.

It is not a weakly prime, because it can be changed into another prime (1101112011227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550556005608 + 550556005609.

It is an arithmetic number, because the mean of its divisors is an integer number (550556005609).

Almost surely, 21101112011217 is an apocalyptic number.

It is an amenable number.

1101112011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101112011217 is an equidigital number, since it uses as much as digits as its factorization.

1101112011217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 1101112011217 its reverse (7121102111011), we get a palindrome (8222214122228).

The spelling of 1101112011217 in words is "one trillion, one hundred one billion, one hundred twelve million, eleven thousand, two hundred seventeen".