Search a number
-
+
313413323314303 is a prime number
BaseRepresentation
bin100011101000011000011100…
…1110011011101010001111111
31112002201000120101011222102201
41013100300321303131101333
5312034430441232024203
63030324032033532331
7123005236215451432
oct10720607163352177
91462630511158381
10313413323314303
1190954931384873
122b199727a140a7
13105b5998a71ba4
1457574002ab819
1526378ee407e1d
hex11d0c39cdd47f

313413323314303 has 2 divisors, whose sum is σ = 313413323314304. Its totient is φ = 313413323314302.

The previous prime is 313413323314291. The next prime is 313413323314321. The reversal of 313413323314303 is 303413323314313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313413323314303 - 229 = 313412786443391 is a prime.

It is a super-2 number, since 2×3134133233143032 (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 (313413323314703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156706661657151 + 156706661657152.

It is an arithmetic number, because the mean of its divisors is an integer number (156706661657152).

Almost surely, 2313413323314303 is an apocalyptic number.

313413323314303 is a deficient number, since it is larger than the sum of its proper divisors (1).

313413323314303 is an equidigital number, since it uses as much as digits as its factorization.

313413323314303 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 37.

Adding to 313413323314303 its reverse (303413323314313), we get a palindrome (616826646628616).

The spelling of 313413323314303 in words is "three hundred thirteen trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, three hundred three".