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12002100111 = 321333566679
BaseRepresentation
bin10110010110110000…
…11000001110001111
31010222110001212011100
423023120120032033
5144040014200421
65302542354143
7603265111341
oct131330301617
933873055140
1012002100111
1150a9966501
1223ab58b953
13119371b6b1
1481c007291
154a3a37c26
hex2cb61838f

12002100111 has 6 divisors (see below), whose sum is σ = 17336366840. Its totient is φ = 8001400068.

The previous prime is 12002100083. The next prime is 12002100137. The reversal of 12002100111 is 11100120021.

It is a happy number.

12002100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002100111 - 27 = 12002099983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333566679 = 12002100111 / (1 + 2 + 0 + 0 + 2 + 1 + 0 + 0 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002100093 and 12002100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002102111) 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 5 ways as a sum of consecutive naturals, for example, 666783331 + ... + 666783348.

Almost surely, 212002100111 is an apocalyptic number.

12002100111 is a deficient number, since it is larger than the sum of its proper divisors (5334266729).

12002100111 is a wasteful number, since it uses less digits than its factorization.

12002100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333566685 (or 1333566682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12002100111 its reverse (11100120021), we get a palindrome (23102220132).

The spelling of 12002100111 in words is "twelve billion, two million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 1333566679 4000700037 12002100111