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2623132062241 is a prime number
BaseRepresentation
bin100110001010111110110…
…110101101001000100001
3100021202202120202102101021
4212022332312231020201
5320434133301442431
65325014503405441
7360341441432545
oct46127666551041
910252676672337
102623132062241
11921511734099
12364469753881
1316048b73c072
1490d62d9ba25
1548378a44b11
hex262bedad221

2623132062241 has 2 divisors, whose sum is σ = 2623132062242. Its totient is φ = 2623132062240.

The previous prime is 2623132062227. The next prime is 2623132062301. The reversal of 2623132062241 is 1422602313262.

2623132062241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1655802768400 + 967329293841 = 1286780^2 + 983529^2 .

It is a cyclic number.

It is not a de Polignac number, because 2623132062241 - 215 = 2623132029473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2623132062197 and 2623132062206.

It is not a weakly prime, because it can be changed into another prime (2623132062041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311566031120 + 1311566031121.

It is an arithmetic number, because the mean of its divisors is an integer number (1311566031121).

Almost surely, 22623132062241 is an apocalyptic number.

It is an amenable number.

2623132062241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623132062241 is an equidigital number, since it uses as much as digits as its factorization.

2623132062241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 2623132062241 in words is "two trillion, six hundred twenty-three billion, one hundred thirty-two million, sixty-two thousand, two hundred forty-one".