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232965807040181 is a prime number
BaseRepresentation
bin110100111110000110010100…
…001011000110011010110101
31010112212022110122111202120102
4310332012110023012122311
5221013402433100241211
62143251003030243445
7100033136605632455
oct6476062413063265
91115768418452512
10232965807040181
11682592757392a6
12221664014b6585
139ccb773283807
144175868a39d65
151bdee967e4a3b
hexd3e1942c66b5

232965807040181 has 2 divisors, whose sum is σ = 232965807040182. Its totient is φ = 232965807040180.

The previous prime is 232965807040093. The next prime is 232965807040201. The reversal of 232965807040181 is 181040708569232.

232965807040181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223163741859556 + 9802065180625 = 14938666^2 + 3130825^2 .

It is a cyclic number.

It is not a de Polignac number, because 232965807040181 - 218 = 232965806778037 is a prime.

It is a super-2 number, since 2×2329658070401812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232965807340181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116482903520090 + 116482903520091.

It is an arithmetic number, because the mean of its divisors is an integer number (116482903520091).

It is a 1-persistent number, because it is pandigital, but 2⋅232965807040181 = 465931614080362 is not.

Almost surely, 2232965807040181 is an apocalyptic number.

It is an amenable number.

232965807040181 is a deficient number, since it is larger than the sum of its proper divisors (1).

232965807040181 is an equidigital number, since it uses as much as digits as its factorization.

232965807040181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 232965807040181 in words is "two hundred thirty-two trillion, nine hundred sixty-five billion, eight hundred seven million, forty thousand, one hundred eighty-one".