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127383000401 is a prime number
BaseRepresentation
bin111011010100010011…
…1100101010101010001
3110011210112120220001202
41312220213211111101
54041340022003101
6134304031440545
712126445431626
oct1665047452521
9404715526052
10127383000401
114a028423648
1220830386155
13c02095c067
146245ac034d
1534a822636b
hex1da89e5551

127383000401 has 2 divisors, whose sum is σ = 127383000402. Its totient is φ = 127383000400.

The previous prime is 127383000389. The next prime is 127383000403. The reversal of 127383000401 is 104000383721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70118510401 + 57264490000 = 264799^2 + 239300^2 .

It is a cyclic number.

It is not a de Polignac number, because 127383000401 - 210 = 127382999377 is a prime.

It is a super-2 number, since 2×1273830004012 (a number of 23 digits) contains 22 as substring.

Together with 127383000403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (127383000403) 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, 63691500200 + 63691500201.

It is an arithmetic number, because the mean of its divisors is an integer number (63691500201).

Almost surely, 2127383000401 is an apocalyptic number.

It is an amenable number.

127383000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

127383000401 is an equidigital number, since it uses as much as digits as its factorization.

127383000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 127383000401 in words is "one hundred twenty-seven billion, three hundred eighty-three million, four hundred one", and thus it is an aban number.