Search a number
-
+
1001001001111 = 23353419294251
BaseRepresentation
bin11101001000100000100…
…11110010000010010111
310112200202110222112212021
432210100103302002113
5112400022224013421
62043504205234011
7132214511056426
oct16442023620227
93480673875767
101001001001111
11356581a72941
12142001262907
13735177965a7
143663d3752bd
151b089594341
hexe9104f2097

1001001001111 has 16 divisors (see below), whose sum is σ = 1049985296640. Its totient is φ = 952484896000.

The previous prime is 1001001001103. The next prime is 1001001001151. The reversal of 1001001001111 is 1111001001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001001001111 - 23 = 1001001001103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001001001094 and 1001001001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3254736 + ... + 3548986.

It is an arithmetic number, because the mean of its divisors is an integer number (65624081040).

Almost surely, 21001001001111 is an apocalyptic number.

1001001001111 is a deficient number, since it is larger than the sum of its proper divisors (48984295529).

1001001001111 is a wasteful number, since it uses less digits than its factorization.

1001001001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295046.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001001001111 its reverse (1111001001001), we get a palindrome (2112002002112).

It can be divided in two parts, 1001001001 and 111, that multiplied together give a palindrome (111111111111).

The spelling of 1001001001111 in words is "one trillion, one billion, one million, one thousand, one hundred eleven".

Divisors: 1 23 353 419 8119 9637 147907 294251 3401861 6767773 103870603 123291169 2389023869 2835696887 43521782657 1001001001111