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313120301443241 is a prime number
BaseRepresentation
bin100011100110010000000000…
…0010101101110100010101001
31112001200000020011211122000112
41013030200000111232202221
5312020130334132140431
63025541251454144105
7122645123652604235
oct10714400025564251
91461600204748015
10313120301443241
1190851635154086
122b15098b4b2035
131059416b85c276
145747163c315c5
15262ee9e692c2b
hex11cc80056e8a9

313120301443241 has 2 divisors, whose sum is σ = 313120301443242. Its totient is φ = 313120301443240.

The previous prime is 313120301443223. The next prime is 313120301443337. The reversal of 313120301443241 is 142344103021313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200389080133225 + 112731221310016 = 14155885^2 + 10617496^2 .

It is a cyclic number.

It is not a de Polignac number, because 313120301443241 - 210 = 313120301442217 is a prime.

It is a super-2 number, since 2×3131203014432412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313120301443198 and 313120301443207.

It is not a weakly prime, because it can be changed into another prime (313120301443541) 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, 156560150721620 + 156560150721621.

It is an arithmetic number, because the mean of its divisors is an integer number (156560150721621).

Almost surely, 2313120301443241 is an apocalyptic number.

It is an amenable number.

313120301443241 is a deficient number, since it is larger than the sum of its proper divisors (1).

313120301443241 is an equidigital number, since it uses as much as digits as its factorization.

313120301443241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 313120301443241 its reverse (142344103021313), we get a palindrome (455464404464554).

The spelling of 313120301443241 in words is "three hundred thirteen trillion, one hundred twenty billion, three hundred one million, four hundred forty-three thousand, two hundred forty-one".