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10400051471 is a prime number
BaseRepresentation
bin10011010111110010…
…00011000100001111
3222211210112100120112
421223321003010033
5132244403121341
64435553110235
7515502656525
oct115371030417
928753470515
1010400051471
114457615667
122022b5837b
13c99849314
1470933c315
1540d081aeb
hex26be4310f

10400051471 has 2 divisors, whose sum is σ = 10400051472. Its totient is φ = 10400051470.

The previous prime is 10400051449. The next prime is 10400051503. The reversal of 10400051471 is 17415000401.

It is a happy number.

10400051471 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 is an emirp because it is prime and its reverse (17415000401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10400051471 - 26 = 10400051407 is a prime.

It is a super-3 number, since 3×104000514713 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400051401) 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, 5200025735 + 5200025736.

It is an arithmetic number, because the mean of its divisors is an integer number (5200025736).

Almost surely, 210400051471 is an apocalyptic number.

10400051471 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400051471 is an equidigital number, since it uses as much as digits as its factorization.

10400051471 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 10400051471 its reverse (17415000401), we get a palindrome (27815051872).

The spelling of 10400051471 in words is "ten billion, four hundred million, fifty-one thousand, four hundred seventy-one".