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313212311201 is a prime number
BaseRepresentation
bin1001000111011001110…
…10001001011010100001
31002221110022012222102102
410203230322021122201
520112424322424301
6355515430500145
731425456501146
oct4435472113241
91087408188372
10313212311201
11110918203259
1250852204655
13236c71a842a
1411233b763cd
15823259cb6b
hex48ece896a1

313212311201 has 2 divisors, whose sum is σ = 313212311202. Its totient is φ = 313212311200.

The previous prime is 313212311143. The next prime is 313212311231. The reversal of 313212311201 is 102113212313.

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., 265982590225 + 47229720976 = 515735^2 + 217324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313212311201 is a prime.

It is not a weakly prime, because it can be changed into another prime (313212311231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606155600 + 156606155601.

It is an arithmetic number, because the mean of its divisors is an integer number (156606155601).

Almost surely, 2313212311201 is an apocalyptic number.

It is an amenable number.

313212311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313212311201 is an equidigital number, since it uses as much as digits as its factorization.

313212311201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313212311201 its reverse (102113212313), we get a palindrome (415325523514).

The spelling of 313212311201 in words is "three hundred thirteen billion, two hundred twelve million, three hundred eleven thousand, two hundred one".