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313111200349 is a prime number
BaseRepresentation
bin1001000111001101110…
…00011100001001011101
31002221012020222000102001
410203212320130021131
520112222431402344
6355501415402301
731423121201263
oct4434670341135
91087166860361
10313111200349
11110876123172
1250824383391
13236ac26611c
1411224576433
158228778ed4
hex48e6e1c25d

313111200349 has 2 divisors, whose sum is σ = 313111200350. Its totient is φ = 313111200348.

The previous prime is 313111200307. The next prime is 313111200377. The reversal of 313111200349 is 943002111313.

It is an a-pointer prime, because the next prime (313111200377) can be obtained adding 313111200349 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310772800900 + 2338399449 = 557470^2 + 48357^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111200349 - 27 = 313111200221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313111200949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555600174 + 156555600175.

It is an arithmetic number, because the mean of its divisors is an integer number (156555600175).

Almost surely, 2313111200349 is an apocalyptic number.

It is an amenable number.

313111200349 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111200349 is an equidigital number, since it uses as much as digits as its factorization.

313111200349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 313111200349 in words is "three hundred thirteen billion, one hundred eleven million, two hundred thousand, three hundred forty-nine".