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10005442236037 is a prime number
BaseRepresentation
bin1001000110011001001011…
…0101001000111010000101
31022102111210110202111012001
42101212102311020322011
52302412121203023122
633140234155025301
72051604120523543
oct221462265107205
938374713674161
1010005442236037
113208314334556
12115715643b231
135776807c5c31
142683a1c2ad93
151253e7b02527
hex91992d48e85

10005442236037 has 2 divisors, whose sum is σ = 10005442236038. Its totient is φ = 10005442236036.

The previous prime is 10005442236017. The next prime is 10005442236073. The reversal of 10005442236037 is 73063224450001.

Together with next prime (10005442236073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9010088825761 + 995353410276 = 3001681^2 + 997674^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005442236037 - 211 = 10005442233989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10005442235987 and 10005442236005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005442236017) 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, 5002721118018 + 5002721118019.

It is an arithmetic number, because the mean of its divisors is an integer number (5002721118019).

Almost surely, 210005442236037 is an apocalyptic number.

It is an amenable number.

10005442236037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005442236037 is an equidigital number, since it uses as much as digits as its factorization.

10005442236037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 37.

Adding to 10005442236037 its reverse (73063224450001), we get a palindrome (83068666686038).

The spelling of 10005442236037 in words is "ten trillion, five billion, four hundred forty-two million, two hundred thirty-six thousand, thirty-seven".