Search a number
-
+
11111103306 = 232617283517
BaseRepresentation
bin10100101100100010…
…11111101101001010
31001200100111112022200
422112101133231022
5140223420301211
65034313301030
7542225551122
oct122621375512
931610445280
1011111103306
114791a23406
1221a1104776
131080c57c54
14775951c82
154506d8b56
hex29645fb4a

11111103306 has 12 divisors (see below), whose sum is σ = 24074057202. Its totient is φ = 3703701096.

The previous prime is 11111103229. The next prime is 11111103307. The reversal of 11111103306 is 60330111111.

It can be written as a sum of positive squares in only one way, i.e., 10597673025 + 513430281 = 102945^2 + 22659^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 617283517 = 11111103306 / (1 + 1 + 1 + 1 + 1 + 1 + 0 + 3 + 3 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (11111103307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308641741 + ... + 308641776.

Almost surely, 211111103306 is an apocalyptic number.

11111103306 is an abundant number, since it is smaller than the sum of its proper divisors (12962953896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111103306 is a wasteful number, since it uses less digits than its factorization.

11111103306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617283525 (or 617283522 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11111103306 its reverse (60330111111), we get a palindrome (71441214417).

The spelling of 11111103306 in words is "eleven billion, one hundred eleven million, one hundred three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 617283517 1234567034 1851850551 3703701102 5555551653 11111103306