Search a number
-
+
1000011101111 = 117310113790001
BaseRepresentation
bin11101000110101010100…
…11100111001110110111
310112121012111022102100022
432203111103213032313
5112341010320213421
62043222044235355
7132151131052541
oct16432523471667
93477174272308
101000011101111
11356114218370
1214198583bb5b
13733ba684649
1436587ad6691
151b02c70a7ab
hexe8d54e73b7

1000011101111 has 32 divisors (see below), whose sum is σ = 1124978918976. Its totient is φ = 881280000000.

The previous prime is 1000011101083. The next prime is 1000011101153. The reversal of 1000011101111 is 1111011100001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000011101111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011107111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11066111 + ... + 11156111.

It is an arithmetic number, because the mean of its divisors is an integer number (35155591218).

Almost surely, 21000011101111 is an apocalyptic number.

1000011101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000011101111 is a deficient number, since it is larger than the sum of its proper divisors (124967817865).

1000011101111 is a wasteful number, since it uses less digits than its factorization.

1000011101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90323.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1000011101111 its reverse (1111011100001), we get a palindrome (2111022201112).

It can be divided in two parts, 10000 and 11101111, that added together give a palindrome (11111111).

The spelling of 1000011101111 in words is "one trillion, eleven million, one hundred one thousand, one hundred eleven".

Divisors: 1 11 73 101 137 803 1111 1507 7373 10001 13837 81103 90001 110011 152207 990011 1010101 6570073 9090101 11111111 12330137 72270803 99991111 135631507 663577373 900100001 1245343837 7299351103 9901100011 13698782207 90910100101 1000011101111