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12033131000301 = 321337014555589
BaseRepresentation
bin1010111100011010111001…
…1111111011000111101101
31120121100121120220022010200
42233012232133323013231
53034122323014002201
641331535530224113
72351236126612065
oct257065637730755
946540546808120
1012033131000301
11391a249823794
121424127285039
13693947645088
142d8599bb03a5
1515d021868386
hexaf1ae7fb1ed

12033131000301 has 6 divisors (see below), whose sum is σ = 17381189222670. Its totient is φ = 8022087333528.

The previous prime is 12033131000279. The next prime is 12033131000347. The reversal of 12033131000301 is 10300013133021.

It is a happy number.

12033131000301 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 31 + 0 + 0 + 0 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12032393063076 + 737937225 = 3468774^2 + 27165^2 .

It is not a de Polignac number, because 12033131000301 - 25 = 12033131000269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033131000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 668507277786 + ... + 668507277803.

It is an arithmetic number, because the mean of its divisors is an integer number (2896864870445).

Almost surely, 212033131000301 is an apocalyptic number.

It is an amenable number.

12033131000301 is a deficient number, since it is larger than the sum of its proper divisors (5348058222369).

12033131000301 is a wasteful number, since it uses less digits than its factorization.

12033131000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337014555595 (or 1337014555592 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12033131000301 its reverse (10300013133021), we get a palindrome (22333144133322).

The spelling of 12033131000301 in words is "twelve trillion, thirty-three billion, one hundred thirty-one million, three hundred one", and thus it is an aban number.

Divisors: 1 3 9 1337014555589 4011043666767 12033131000301