Search a number
-
+
12002000010011 = 111678147801949
BaseRepresentation
bin1010111010100110111011…
…1100100111101100011011
31120111101021000110010202022
42232221232330213230123
53033120044000310021
641305350453125055
72346054514555334
oct256515674475433
946441230403668
1012002000010011
113908024128a40
12141a09962978b
13690a25b6b66b
142d6c8547b28b
1515c2ed7d61ab
hexaea6ef27b1b

12002000010011 has 16 divisors (see below), whose sum is σ = 13173125817600. Its totient is φ = 10844229557280.

The previous prime is 12002000009983. The next prime is 12002000010017. The reversal of 12002000010011 is 11001000020021.

It is a cyclic number.

It is not a de Polignac number, because 12002000010011 - 230 = 12000926268187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002000010017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14565065 + ... + 15367013.

It is an arithmetic number, because the mean of its divisors is an integer number (823320363600).

Almost surely, 212002000010011 is an apocalyptic number.

12002000010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002000010011 is a deficient number, since it is larger than the sum of its proper divisors (1171125807589).

12002000010011 is a wasteful number, since it uses less digits than its factorization.

12002000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810274.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12002000010011 its reverse (11001000020021), we get a palindrome (23003000030032).

The spelling of 12002000010011 in words is "twelve trillion, two billion, ten thousand, eleven".

Divisors: 1 11 167 1837 8147 89617 801949 1360549 8821439 14966039 133925483 1473180313 6533478503 71868263533 1091090910001 12002000010011