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10320400103 = 13173349463
BaseRepresentation
bin10011001110010010…
…01100111011100111
3222122020122122102212
421213021030323213
5132114010300403
64424025554035
7513514645016
oct114711147347
928566578385
1010320400103
114416662392
12200034591b
13c861ab830
146dc926a7d
1540609b4d8
hex26724cee7

10320400103 has 32 divisors (see below), whose sum is σ = 11868192000. Its totient is φ = 8921138688.

The previous prime is 10320400091. The next prime is 10320400159. The reversal of 10320400103 is 30100402301.

It is not a de Polignac number, because 10320400103 - 214 = 10320383719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320400003) 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 in 31 ways as a sum of consecutive naturals, for example, 22290050 + ... + 22290512.

It is an arithmetic number, because the mean of its divisors is an integer number (370881000).

Almost surely, 210320400103 is an apocalyptic number.

10320400103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10320400103 is a deficient number, since it is larger than the sum of its proper divisors (1547791897).

10320400103 is an equidigital number, since it uses as much as digits as its factorization.

10320400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10320400103 its reverse (30100402301), we get a palindrome (40420802404).

The spelling of 10320400103 in words is "ten billion, three hundred twenty million, four hundred thousand, one hundred three".

Divisors: 1 13 17 221 289 349 463 3757 4537 4913 5933 6019 7871 63869 77129 100861 102323 133807 161587 1311193 1714637 1739491 2100631 2274719 2746979 22290281 29571347 35710727 46698643 607082359 793876931 10320400103