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312344101408373 is a prime number
BaseRepresentation
bin100011100000100110100011…
…1001101100100111001110101
31111221220210201110112101110222
41013001031013031210321311
5311414421204430031443
63024144522125424125
7122535055002301526
oct10701150715447165
91457823643471428
10312344101408373
11905824314a6461
122b04646770b045
1310538bcb611ac8
14571b76c71484d
152619bc0a2c468
hex11c1347364e75

312344101408373 has 2 divisors, whose sum is σ = 312344101408374. Its totient is φ = 312344101408372.

The previous prime is 312344101408187. The next prime is 312344101408393. The reversal of 312344101408373 is 373804101443213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250867807183249 + 61476294225124 = 15838807^2 + 7840682^2 .

It is a cyclic number.

It is not a de Polignac number, because 312344101408373 - 226 = 312344034299509 is a prime.

It is a super-2 number, since 2×3123441014083732 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312344101408393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156172050704186 + 156172050704187.

It is an arithmetic number, because the mean of its divisors is an integer number (156172050704187).

Almost surely, 2312344101408373 is an apocalyptic number.

It is an amenable number.

312344101408373 is a deficient number, since it is larger than the sum of its proper divisors (1).

312344101408373 is an equidigital number, since it uses as much as digits as its factorization.

312344101408373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 312344101408373 in words is "three hundred twelve trillion, three hundred forty-four billion, one hundred one million, four hundred eight thousand, three hundred seventy-three".