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10403401005 = 3251753256589
BaseRepresentation
bin10011011000001011…
…10100110100101101
3222212000211112021100
421230011310310231
5132301232313010
64440152553313
7515543310114
oct115405646455
928760745240
1010403401005
1144594a3178
1220240b2839
13c9a44caaa
14709970c7b
1540d4e42c0
hex26c174d2d

10403401005 has 48 divisors (see below), whose sum is σ = 19453627440. Its totient is φ = 5123549184.

The previous prime is 10403400989. The next prime is 10403401013. The reversal of 10403401005 is 50010430401.

It is a happy number.

10403401005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 76370121 + 10327030884 = 8739^2 + 101622^2 .

It is not a de Polignac number, because 10403401005 - 24 = 10403400989 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 87750 + ... + 168839.

It is an arithmetic number, because the mean of its divisors is an integer number (405283905).

Almost surely, 210403401005 is an apocalyptic number.

10403401005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10403401005 is a deficient number, since it is larger than the sum of its proper divisors (9050226435).

10403401005 is a wasteful number, since it uses less digits than its factorization.

10403401005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256670 (or 256667 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10403401005 its reverse (50010430401), we get a palindrome (60413831406).

The spelling of 10403401005 in words is "ten billion, four hundred three million, four hundred one thousand, five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 477 765 795 901 2385 2703 4505 8109 13515 40545 256589 769767 1282945 2309301 3848835 4362013 11546505 13086039 13599217 21810065 39258117 40797651 65430195 67996085 122392953 196290585 203988255 231186689 611964765 693560067 1155933445 2080680201 3467800335 10403401005