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402243202110313 is a prime number
BaseRepresentation
bin101101101110101101000101…
…1001011001101001101101001
31221202020002000100210020200001
41123131122023023031031221
5410210323034220012223
63543255550453143001
7150504053346154654
oct13335321313151551
91852202010706601
10402243202110313
11107192425150583
123914551662aa61
131435a4a96b0a75
147148963b6089b
1531784072309ad
hex16dd68b2cd369

402243202110313 has 2 divisors, whose sum is σ = 402243202110314. Its totient is φ = 402243202110312.

The previous prime is 402243202110203. The next prime is 402243202110401. The reversal of 402243202110313 is 313011202342204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306040315904064 + 96202886206249 = 17494008^2 + 9808307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402243202110313 is a prime.

It is a super-3 number, since 3×4022432021103133 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (402243202110413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201121601055156 + 201121601055157.

It is an arithmetic number, because the mean of its divisors is an integer number (201121601055157).

Almost surely, 2402243202110313 is an apocalyptic number.

It is an amenable number.

402243202110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

402243202110313 is an equidigital number, since it uses as much as digits as its factorization.

402243202110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 402243202110313 its reverse (313011202342204), we get a palindrome (715254404452517).

The spelling of 402243202110313 in words is "four hundred two trillion, two hundred forty-three billion, two hundred two million, one hundred ten thousand, three hundred thirteen".