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313420340033 is a prime number
BaseRepresentation
bin1001000111110010100…
…11101101101101000001
31002221222210122221022222
410203321103231231001
520113341101340113
6355552221340425
731433563635203
oct4437123555501
91087883587288
10313420340033
11110a1467a409
12508aba07715
132372b314008
1411253648773
158245990e08
hex48f94edb41

313420340033 has 2 divisors, whose sum is σ = 313420340034. Its totient is φ = 313420340032.

The previous prime is 313420339961. The next prime is 313420340039. The reversal of 313420340033 is 330043024313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267839371024 + 45580969009 = 517532^2 + 213497^2 .

It is an emirp because it is prime and its reverse (330043024313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313420340033 - 214 = 313420323649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313420339984 and 313420340011.

It is not a weakly prime, because it can be changed into another prime (313420340039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156710170016 + 156710170017.

It is an arithmetic number, because the mean of its divisors is an integer number (156710170017).

Almost surely, 2313420340033 is an apocalyptic number.

It is an amenable number.

313420340033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313420340033 is an equidigital number, since it uses as much as digits as its factorization.

313420340033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 313420340033 its reverse (330043024313), we get a palindrome (643463364346).

The spelling of 313420340033 in words is "three hundred thirteen billion, four hundred twenty million, three hundred forty thousand, thirty-three".