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35312340214993 is a prime number
BaseRepresentation
bin10000000011101110010110…
…11111101010010011010001
311122000211022201000210020011
420001313023133222103101
514112024133043334433
6203034133134314521
710303142465232142
oct1001671337522321
9148024281023204
1035312340214993
1110284974507aa6
123b63927358a41
131691c29b0507a
148a11aab33ac9
1541384d22e3cd
hex201dcb7ea4d1

35312340214993 has 2 divisors, whose sum is σ = 35312340214994. Its totient is φ = 35312340214992.

The previous prime is 35312340214973. The next prime is 35312340215059. The reversal of 35312340214993 is 39941204321353.

35312340214993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35307981970704 + 4358244289 = 5942052^2 + 66017^2 .

It is an emirp because it is prime and its reverse (39941204321353) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35312340214993 is a prime.

It is a super-2 number, since 2×353123402149932 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (35312340214973) 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, 17656170107496 + 17656170107497.

It is an arithmetic number, because the mean of its divisors is an integer number (17656170107497).

Almost surely, 235312340214993 is an apocalyptic number.

It is an amenable number.

35312340214993 is a deficient number, since it is larger than the sum of its proper divisors (1).

35312340214993 is an equidigital number, since it uses as much as digits as its factorization.

35312340214993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 35312340214993 in words is "thirty-five trillion, three hundred twelve billion, three hundred forty million, two hundred fourteen thousand, nine hundred ninety-three".