Search a number
-
+
354253243322353 is a prime number
BaseRepresentation
bin101000010001100010000001…
…0101110101000111111110001
31201110022021112121210020220111
41100203010002232220333301
5332413041120242303403
63253233405430541321
7134421644420020354
oct12043040256507761
91643267477706814
10354253243322353
11a296aa58546521
123389479a507841
1312288c2590ba4b
146369d3c81629b
152ae4e16d9c56d
hex1423102ba8ff1

354253243322353 has 2 divisors, whose sum is σ = 354253243322354. Its totient is φ = 354253243322352.

The previous prime is 354253243322269. The next prime is 354253243322387. The reversal of 354253243322353 is 353223342352453.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193717070659984 + 160536172662369 = 13918228^2 + 12670287^2 .

It is an emirp because it is prime and its reverse (353223342352453) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 354253243322353 - 213 = 354253243314161 is a prime.

It is a super-3 number, since 3×3542532433223533 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354253243322297 and 354253243322306.

It is not a weakly prime, because it can be changed into another prime (354253243322393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177126621661176 + 177126621661177.

It is an arithmetic number, because the mean of its divisors is an integer number (177126621661177).

Almost surely, 2354253243322353 is an apocalyptic number.

It is an amenable number.

354253243322353 is a deficient number, since it is larger than the sum of its proper divisors (1).

354253243322353 is an equidigital number, since it uses as much as digits as its factorization.

354253243322353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328000, while the sum is 49.

The spelling of 354253243322353 in words is "three hundred fifty-four trillion, two hundred fifty-three billion, two hundred forty-three million, three hundred twenty-two thousand, three hundred fifty-three".