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1000001100111 = 313731372563849
BaseRepresentation
bin11101000110101001011…
…01011101100101001111
310112121011210111022112220
432203110231131211033
5112341000240200421
62043221050030423
7132150650050236
oct16432455354517
93477153438486
101000001100111
11356109607482
12141982418413
13733b85924b0
1436586651b1d
151b02b8d23c6
hexe8d4b5d94f

1000001100111 has 32 divisors (see below), whose sum is σ = 1466194027200. Its totient is φ = 602524790784.

The previous prime is 1000001100107. The next prime is 1000001100139. The reversal of 1000001100111 is 1110011000001.

It is not a de Polignac number, because 1000001100111 - 22 = 1000001100107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000001100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001000111) 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, 891886 + ... + 1671963.

It is an arithmetic number, because the mean of its divisors is an integer number (45818563350).

Almost surely, 21000001100111 is an apocalyptic number.

1000001100111 is a deficient number, since it is larger than the sum of its proper divisors (466192927089).

1000001100111 is a wasteful number, since it uses less digits than its factorization.

1000001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564075.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000001100111 its reverse (1110011000001), we get a palindrome (2110012100112).

The spelling of 1000001100111 in words is "one trillion, one million, one hundred thousand, one hundred eleven".

Divisors: 1 3 13 39 73 137 219 411 949 1781 2847 5343 10001 30003 130013 390039 2563849 7691547 33330037 99990111 187160977 351247313 561482931 1053741939 2433092701 4566215069 7299278103 13698645207 25641053849 76923161547 333333700037 1000001100111