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313123200000049 is a prime number
BaseRepresentation
bin100011100110010001010110…
…1000110110110000000110001
31112001200021201011222120110101
41013030202231012312000301
5312020202303200000144
63025542451240232401
7122645255540124205
oct10714425506660061
91461607634876411
10313123200000049
119085289232777a
122b15145a16b701
131059451121613a
14574735ab8cb05
1526300bdd996d4
hex11cc8ad1b6031

313123200000049 has 2 divisors, whose sum is σ = 313123200000050. Its totient is φ = 313123200000048.

The previous prime is 313123199999947. The next prime is 313123200000077. The reversal of 313123200000049 is 940000002321313.

It is an a-pointer prime, because the next prime (313123200000077) can be obtained adding 313123200000049 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., 215107160907024 + 98016039093025 = 14666532^2 + 9900305^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123200000049 - 27 = 313123199999921 is a prime.

It is a super-2 number, since 2×3131232000000492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313123199999972 and 313123200000026.

It is not a weakly prime, because it can be changed into another prime (313123200009049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561600000024 + 156561600000025.

It is an arithmetic number, because the mean of its divisors is an integer number (156561600000025).

Almost surely, 2313123200000049 is an apocalyptic number.

It is an amenable number.

313123200000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123200000049 is an equidigital number, since it uses as much as digits as its factorization.

313123200000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 313123200000049 in words is "three hundred thirteen trillion, one hundred twenty-three billion, two hundred million, forty-nine", and thus it is an aban number.