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12002133020333 = 88131489432637
BaseRepresentation
bin1010111010100111011011…
…1000000000111010101101
31120111101121021201202121112
42232221312320000322231
53033120332023122313
641305412004041405
72346061021254461
oct256516670007255
946441537652545
1012002133020333
113908092216625
12141a116093265
13690a4759c3b1
142d6c98dc24a1
1515c30a30b8a8
hexaea76e00ead

12002133020333 has 8 divisors (see below), whose sum is σ = 12016165686840. Its totient is φ = 11988101283840.

The previous prime is 12002133020329. The next prime is 12002133020341. The reversal of 12002133020333 is 33302033120021.

It can be written as a sum of positive squares in 4 ways, for example, as 2892710435209 + 9109422585124 = 1700797^2 + 3018182^2 .

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 12002133020333 - 22 = 12002133020329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002133020299 and 12002133020308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002133020363) 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, 27525491 + ... + 27958127.

It is an arithmetic number, because the mean of its divisors is an integer number (1502020710855).

Almost surely, 212002133020333 is an apocalyptic number.

It is an amenable number.

12002133020333 is a deficient number, since it is larger than the sum of its proper divisors (14032666507).

12002133020333 is an equidigital number, since it uses as much as digits as its factorization.

12002133020333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465007.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12002133020333 its reverse (33302033120021), we get a palindrome (45304166140354).

The spelling of 12002133020333 in words is "twelve trillion, two billion, one hundred thirty-three million, twenty thousand, three hundred thirty-three".

Divisors: 1 881 31489 432637 27741809 381153197 13623306493 12002133020333