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1000111111111 = 727313712591621
BaseRepresentation
bin11101000110110110100…
…01000111101111000111
310112121110110111110021101
432203123101013233013
5112341211421023421
62043240020000531
7132153454116100
oct16433321075707
93477413443241
101000111111111
11356165716362
121419b3230147
13734052cc868
14365970cb3a7
151b0363b3191
hexe8db447bc7

1000111111111 has 48 divisors (see below), whose sum is σ = 1189616712480. Its totient is φ = 838139581440.

The previous prime is 1000111111067. The next prime is 1000111111141. The reversal of 1000111111111 is 1111111110001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1000111111111 is a prime.

1000111111111 is a modest number, since divided by 1111111 gives 100011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111111141) 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 47 ways as a sum of consecutive naturals, for example, 616970881 + ... + 616972501.

It is an arithmetic number, because the mean of its divisors is an integer number (24783681510).

Almost surely, 21000111111111 is an apocalyptic number.

1000111111111 is a deficient number, since it is larger than the sum of its proper divisors (189505601369).

1000111111111 is a wasteful number, since it uses less digits than its factorization.

1000111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1000111111111 its reverse (1111111110001), we get a palindrome (2111222221112).

It can be divided in two parts, 10001 and 11111111, that multiplied together give a palindrome (111122221111).

The spelling of 1000111111111 in words is "one trillion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 7 49 73 137 511 959 1259 1621 3577 6713 8813 10001 11347 61691 70007 79429 91907 118333 172483 222077 490049 643349 828331 1207381 1554539 2040839 4503443 5798317 8451667 10881773 12591259 14285873 16211621 88138813 100001111 113481347 148981247 279594943 616971691 794369429 1042868729 1957164601 7300081103 13700152207 20410430839 142873015873 1000111111111