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401512129 is a prime number
BaseRepresentation
bin10111111011101…
…001011011000001
31000222111221002121
4113323221123001
51310241342004
6103501444241
712643540204
oct2773513301
91028457077
10401512129
11196709007
12b2570681
1365250955
143b47993b
15253b1854
hex17ee96c1

401512129 has 2 divisors, whose sum is σ = 401512130. Its totient is φ = 401512128.

The previous prime is 401512121. The next prime is 401512141. The reversal of 401512129 is 921215104.

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., 397603600 + 3908529 = 19940^2 + 1977^2 .

It is a cyclic number.

It is not a de Polignac number, because 401512129 - 23 = 401512121 is a prime.

It is a super-2 number, since 2×4015121292 = 322423979468225282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401512121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200756064 + 200756065.

It is an arithmetic number, because the mean of its divisors is an integer number (200756065).

Almost surely, 2401512129 is an apocalyptic number.

It is an amenable number.

401512129 is a deficient number, since it is larger than the sum of its proper divisors (1).

401512129 is an equidigital number, since it uses as much as digits as its factorization.

401512129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 401512129 is about 20037.7675652753. The cubic root of 401512129 is about 737.7335873701.

The spelling of 401512129 in words is "four hundred one million, five hundred twelve thousand, one hundred twenty-nine".