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2012011010111 = 41617111330741
BaseRepresentation
bin11101010001110101001…
…100111001100000111111
321010100100111200101100102
4131101311030321200333
5230431044304310421
64140145522351315
7265235336256164
oct35216514714077
97110314611312
102012011010111
1170631a842523
12285b364bb53b
13117968a8244b
146d54bb3606b
153750c6c560b
hex1d47533983f

2012011010111 has 16 divisors (see below), whose sum is σ = 2124378156096. Its totient is φ = 1903564320000.

The previous prime is 2012011010063. The next prime is 2012011010129. The reversal of 2012011010111 is 1110101102102.

It is a cyclic number.

It is not a de Polignac number, because 2012011010111 - 230 = 2010937268287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012011010092 and 2012011010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012011010311) 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 15 ways as a sum of consecutive naturals, for example, 5487800 + ... + 5842941.

It is an arithmetic number, because the mean of its divisors is an integer number (132773634756).

Almost surely, 22012011010111 is an apocalyptic number.

2012011010111 is a deficient number, since it is larger than the sum of its proper divisors (112367145985).

2012011010111 is a wasteful number, since it uses less digits than its factorization.

2012011010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330914.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2012011010111 its reverse (1110101102102), we get a palindrome (3122112112213).

The spelling of 2012011010111 in words is "two trillion, twelve billion, eleven million, ten thousand, one hundred eleven".

Divisors: 1 41 61 71 2501 2911 4331 177571 11330741 464560381 691175201 804482611 28338183241 32983787051 49073439271 2012011010111