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12002023231133 = 131013911384557
BaseRepresentation
bin1010111010100111000001…
…0101001100111010011101
31120111101022122010220010212
42232221300111030322131
53033120120421344013
641305353042542205
72346055216131365
oct256516025147235
946441278126125
1012002023231133
113908036249351
12141a0a5367965
13690a2a90bc80
142d6c885a39a5
1515c3008716a8
hexaea7054ce9d

12002023231133 has 8 divisors (see below), whose sum is σ = 12938015185368. Its totient is φ = 11067854048064.

The previous prime is 12002023231127. The next prime is 12002023231141. The reversal of 12002023231133 is 33113232020021.

It can be written as a sum of positive squares in 4 ways, for example, as 553829174809 + 11448194056324 = 744197^2 + 3383518^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12002023231133 - 216 = 12002023165597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002023231099 and 12002023231108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002023231153) 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 7 ways as a sum of consecutive naturals, for example, 455679110 + ... + 455705447.

It is an arithmetic number, because the mean of its divisors is an integer number (1617251898171).

Almost surely, 212002023231133 is an apocalyptic number.

12002023231133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12002023231133 is a deficient number, since it is larger than the sum of its proper divisors (935991954235).

12002023231133 is a wasteful number, since it uses less digits than its factorization.

12002023231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911385583.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12002023231133 its reverse (33113232020021), we get a palindrome (45115255251154).

The spelling of 12002023231133 in words is "twelve trillion, two billion, twenty-three million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 13 1013 13169 911384557 11847999241 923232556241 12002023231133