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433031121133 = 133110667100733
BaseRepresentation
bin1100100110100101010…
…10101000100011101101
31112101201200110011212121
412103102222220203231
524043321431334013
6530533131432541
743166625540502
oct6232252504355
91471650404777
10433031121133
11157713862616
126bb112b5751
1331ab0993030
1416d5cdd54a9
15b3e66b258d
hex64d2aa88ed

433031121133 has 16 divisors (see below), whose sum is σ = 481434379776. Its totient is φ = 386786704320.

The previous prime is 433031121049. The next prime is 433031121157. The reversal of 433031121133 is 331121130334.

It is a cyclic number.

It is not a de Polignac number, because 433031121133 - 217 = 433030990061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 433031121098 and 433031121107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433031121433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248435 + ... + 4349167.

It is an arithmetic number, because the mean of its divisors is an integer number (30089648736).

Almost surely, 2433031121133 is an apocalyptic number.

It is an amenable number.

433031121133 is a deficient number, since it is larger than the sum of its proper divisors (48403258643).

433031121133 is a wasteful number, since it uses less digits than its factorization.

433031121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111444.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 433031121133 its reverse (331121130334), we get a palindrome (764152251467).

The spelling of 433031121133 in words is "four hundred thirty-three billion, thirty-one million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 13 31 403 10667 100733 138671 330677 1309529 3122723 4298801 40595399 1074518911 13968745843 33310086241 433031121133