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231033031230033 = 32171510019811961
BaseRepresentation
bin110100100001111110010001…
…110000100000001001010001
31010022000112122011211120210200
4310201332101300200021101
5220240221121443330113
62135211035341045413
766443404613415204
oct6441762160401121
91108015564746720
10231033031230033
116768361612430a
1221ab38ba856869
139bbb424059096
14410a0b627793b
151ba9a753ba873
hexd21f91c20251

231033031230033 has 12 divisors (see below), whose sum is σ = 353344635999108. Its totient is φ = 144961901948160.

The previous prime is 231033031230007. The next prime is 231033031230059. The reversal of 231033031230033 is 330032130330132.

231033031230033 is a `hidden beast` number, since 2 + 3 + 10 + 3 + 3 + 0 + 312 + 300 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (231033031230007) and next prime (231033031230059).

It can be written as a sum of positive squares in 2 ways, for example, as 158269282182144 + 72763749047889 = 12580512^2 + 8530167^2 .

It is not a de Polignac number, because 231033031230033 - 221 = 231033029132881 is a prime.

It is a super-2 number, since 2×2310330312300332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231033031229979 and 231033031230006.

It is not an unprimeable number, because it can be changed into a prime (231033031231033) 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 11 ways as a sum of consecutive naturals, for example, 755009905828 + ... + 755009906133.

It is an arithmetic number, because the mean of its divisors is an integer number (29445386333259).

Almost surely, 2231033031230033 is an apocalyptic number.

It is an amenable number.

231033031230033 is a deficient number, since it is larger than the sum of its proper divisors (122311604769075).

231033031230033 is a wasteful number, since it uses less digits than its factorization.

231033031230033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510019811984 (or 1510019811981 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 231033031230033 its reverse (330032130330132), we get a palindrome (561065161560165).

The spelling of 231033031230033 in words is "two hundred thirty-one trillion, thirty-three billion, thirty-one million, two hundred thirty thousand, thirty-three".

Divisors: 1 3 9 17 51 153 1510019811961 4530059435883 13590178307649 25670336803337 77011010410011 231033031230033