Search a number
-
+
1000302211111 = 7317916292363
BaseRepresentation
bin11101000111001101010…
…10000111000000100111
310112121221210002100012011
432203212222013000213
5112342104331223421
62043311003535051
7132161264335000
oct16434652070047
93477853070164
101000302211111
1135625357a645
12141a4722a487
1373435a8bb98
14365b46341a7
151b0480604e1
hexe8e6a87027

1000302211111 has 16 divisors (see below), whose sum is σ = 1173050208000. Its totient is φ = 852611888184.

The previous prime is 1000302211087. The next prime is 1000302211151. The reversal of 1000302211111 is 1111122030001.

It is a happy number.

It is not a de Polignac number, because 1000302211111 - 27 = 1000302210983 is a prime.

It is a super-2 number, since 2×10003022111112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000302211091 and 1000302211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000302211151) 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 in 15 ways as a sum of consecutive naturals, for example, 8084785 + ... + 8207578.

It is an arithmetic number, because the mean of its divisors is an integer number (73315638000).

Almost surely, 21000302211111 is an apocalyptic number.

1000302211111 is a deficient number, since it is larger than the sum of its proper divisors (172747996889).

1000302211111 is an equidigital number, since it uses as much as digits as its factorization.

1000302211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292563 (or 16292549 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1000302211111 its reverse (1111122030001), we get a palindrome (2111424241112).

The spelling of 1000302211111 in words is "one trillion, three hundred two million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 7 49 179 343 1253 8771 61397 16292363 114046541 798325787 2916332977 5588280509 20414330839 142900315873 1000302211111