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12233133201330 = 2325135923702237
BaseRepresentation
bin1011001000000011111110…
…0011110001011110110010
31121022110212002022210212200
42302000333203301132302
53100411424044420310
642003453535404030
72401546305354066
oct262007743613662
947273762283780
1012233133201330
113997051858618
121456a43683616
136a976c255022
143041302a5aa6
1516332a0c49c0
hexb203f8f17b2

12233133201330 has 24 divisors (see below), whose sum is σ = 31806146323692. Its totient is φ = 3262168853664.

The previous prime is 12233133201319. The next prime is 12233133201347. The reversal of 12233133201330 is 3310233133221.

12233133201330 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 1 + 3 + 320 + 1 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10756346817969 + 1476786383361 = 3279687^2 + 1215231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12233133201294 and 12233133201303.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67961851029 + ... + 67961851208.

Almost surely, 212233133201330 is an apocalyptic number.

12233133201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12233133201330 is an abundant number, since it is smaller than the sum of its proper divisors (19573013122362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233133201330 is a wasteful number, since it uses less digits than its factorization.

12233133201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135923702250 (or 135923702247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12233133201330 its reverse (3310233133221), we get a palindrome (15543366334551).

The spelling of 12233133201330 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 135923702237 271847404474 407771106711 679618511185 815542213422 1223313320133 1359237022370 2038855533555 2446626640266 4077711067110 6116566600665 12233133201330