Search a number
-
+
1100110001111 = 11211877659493
BaseRepresentation
bin10000000000100011101…
…010100111001111010111
310220011120120001101212222
4100000203222213033113
5121011011130013421
62201214503132555
7142323515502332
oct20004352471727
93804516041788
101100110001111
11394610463500
1215926074415b
137c980810ca4
143b361d3d619
151d93a47dcab
hex10023aa73d7

1100110001111 has 12 divisors (see below), whose sum is σ = 1210230689976. Its totient is φ = 999257326320.

The previous prime is 1100110001063. The next prime is 1100110001113. The reversal of 1100110001111 is 1111000110011.

It is not a de Polignac number, because 1100110001111 - 230 = 1099036259287 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100110001113) 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 11 ways as a sum of consecutive naturals, for example, 3686120 + ... + 3973373.

It is an arithmetic number, because the mean of its divisors is an integer number (100852557498).

Almost surely, 21100110001111 is an apocalyptic number.

1100110001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100110001111 is a deficient number, since it is larger than the sum of its proper divisors (110120688865).

1100110001111 is a wasteful number, since it uses less digits than its factorization.

1100110001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660702 (or 7660691 counting only the distinct ones).

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

Adding to 1100110001111 its reverse (1111000110011), we get a palindrome (2211110111122).

The spelling of 1100110001111 in words is "one trillion, one hundred billion, one hundred ten million, one thousand, one hundred eleven".

Divisors: 1 11 121 1187 13057 143627 7659493 84254423 926798653 9091818191 100010000101 1100110001111