Search a number
-
+
12000201041023 = 1315128121755141
BaseRepresentation
bin1010111010100000001110…
…1110000110010001111111
31120111012121122101001020021
42232220003232012101333
53033102402431303043
641304452151033011
72345662111563646
oct256500356062177
946435548331207
1012000201041023
113907290708a08
12141987706b767
136907ca24c980
142d6b5459235d
1515c2458d33ed
hexaea03b8647f

12000201041023 has 16 divisors (see below), whose sum is σ = 13055173693632. Its totient is φ = 10964590560000.

The previous prime is 12000201041009. The next prime is 12000201041033. The reversal of 12000201041023 is 32014010200021.

It is a cyclic number.

It is not a de Polignac number, because 12000201041023 - 29 = 12000201040511 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000201040988 and 12000201041006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000201041033) 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, 10325968 + ... + 11429173.

It is an arithmetic number, because the mean of its divisors is an integer number (815948355852).

Almost surely, 212000201041023 is an apocalyptic number.

12000201041023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12000201041023 is a deficient number, since it is larger than the sum of its proper divisors (1054972652609).

12000201041023 is a wasteful number, since it uses less digits than its factorization.

12000201041023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21755586.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12000201041023 its reverse (32014010200021), we get a palindrome (44014211241044).

The spelling of 12000201041023 in words is "twelve trillion, two hundred one million, forty-one thousand, twenty-three".

Divisors: 1 13 151 281 1963 3653 42431 551603 21755141 282816833 3285026291 6113194621 42705341783 79471530073 923092387771 12000201041023