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312402312031169 is a prime number
BaseRepresentation
bin100011100001000001101010…
…0110101011110101111000001
31111222010100222021002102011102
41013002003110311132233001
5311421344413334444134
63024231350233224145
7122542215343364213
oct10702032465365701
91458110867072142
10312402312031169
11905a5092914988
122b0557b2262055
131054154742b0c9
1457204d16985b3
15261b47b12437e
hex11c20d4d5ebc1

312402312031169 has 2 divisors, whose sum is σ = 312402312031170. Its totient is φ = 312402312031168.

The previous prime is 312402312031157. The next prime is 312402312031223. The reversal of 312402312031169 is 961130213204213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298387172088769 + 14015139942400 = 17273887^2 + 3743680^2 .

It is a cyclic number.

It is not a de Polignac number, because 312402312031169 - 224 = 312402295253953 is a prime.

It is a super-2 number, since 2×3124023120311692 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312402312081169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156201156015584 + 156201156015585.

It is an arithmetic number, because the mean of its divisors is an integer number (156201156015585).

Almost surely, 2312402312031169 is an apocalyptic number.

It is an amenable number.

312402312031169 is a deficient number, since it is larger than the sum of its proper divisors (1).

312402312031169 is an equidigital number, since it uses as much as digits as its factorization.

312402312031169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 312402312031169 in words is "three hundred twelve trillion, four hundred two billion, three hundred twelve million, thirty-one thousand, one hundred sixty-nine".