Search a number
-
+
1112111001111 = 3111710119627451
BaseRepresentation
bin10000001011101110111…
…110110010111000010111
310221022112221001100222110
4100023232332302320113
5121210100404013421
62210521410202103
7143230101352455
oct20135676627027
93838487040873
101112111001111
11399709738420
1215b64b883333
1380b43c35a16
143bb7db3b9d5
151ddddd4aa76
hex102eefb2e17

1112111001111 has 32 divisors (see below), whose sum is σ = 1729728089856. Its totient is φ = 628078400000.

The previous prime is 1112111001109. The next prime is 1112111001149. The reversal of 1112111001111 is 1111001112111.

It is a cyclic number.

It is not a de Polignac number, because 1112111001111 - 21 = 1112111001109 is a prime.

It is a super-2 number, since 2×11121110011112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112111001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9757065 + ... + 9870386.

It is an arithmetic number, because the mean of its divisors is an integer number (54054002808).

Almost surely, 21112111001111 is an apocalyptic number.

1112111001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112111001111 is a deficient number, since it is larger than the sum of its proper divisors (617617088745).

1112111001111 is a wasteful number, since it uses less digits than its factorization.

1112111001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627583.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1112111001111 its reverse (1111001112111), we get a palindrome (2223112113222).

The spelling of 1112111001111 in words is "one trillion, one hundred twelve billion, one hundred eleven million, one thousand, one hundred eleven".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 3333 5151 18887 56661 19627451 58882353 215901961 333666667 647705883 1001000001 1982372551 3670333337 5947117653 11011000011 21806098061 33700333367 65418294183 101101000101 370703667037 1112111001111