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12002200013 = 311331116593
BaseRepresentation
bin10110010110110001…
…10000100111001101
31010222110020221012102
423023120300213031
5144040030400023
65302544444445
7603266005526
oct131330604715
933873227172
1012002200013
1150a9a24571
1223ab619725
131193754ccb
1481c03184d
154a3a57628
hex2cb6309cd

12002200013 has 8 divisors (see below), whose sum is σ = 12077272896. Its totient is φ = 11927361600.

The previous prime is 12002199991. The next prime is 12002200061. The reversal of 12002200013 is 31000220021.

It is a happy number.

12002200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002200013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002199967 and 12002200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002200213) 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 7 ways as a sum of consecutive naturals, for example, 44645 + ... + 161237.

It is an arithmetic number, because the mean of its divisors is an integer number (1509659112).

Almost surely, 212002200013 is an apocalyptic number.

It is an amenable number.

12002200013 is a deficient number, since it is larger than the sum of its proper divisors (75072883).

12002200013 is a wasteful number, since it uses less digits than its factorization.

12002200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117235.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12002200013 its reverse (31000220021), we get a palindrome (43002420034).

The spelling of 12002200013 in words is "twelve billion, two million, two hundred thousand, thirteen".

Divisors: 1 311 331 102941 116593 36260423 38592283 12002200013