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10312123003 = 713446325391
BaseRepresentation
bin10011001101010011…
…01000001001111011
3222121200002010101121
421212221220021323
5132104400414003
64423132330111
7513354412360
oct114651501173
928550063347
1010312123003
114411a19706
121bb9613937
13c84571240
146db7b0467
154054b3cbd
hex266a6827b

10312123003 has 16 divisors (see below), whose sum is σ = 12695187456. Its totient is φ = 8156892960.

The previous prime is 10312122943. The next prime is 10312123009. The reversal of 10312123003 is 30032121301.

10312123003 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10312123003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10312123009) 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 in 15 ways as a sum of consecutive naturals, for example, 393438 + ... + 418828.

It is an arithmetic number, because the mean of its divisors is an integer number (793449216).

Almost surely, 210312123003 is an apocalyptic number.

10312123003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10312123003 is a deficient number, since it is larger than the sum of its proper divisors (2383064453).

10312123003 is a wasteful number, since it uses less digits than its factorization.

10312123003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29874.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10312123003 its reverse (30032121301), we get a palindrome (40344244304).

The spelling of 10312123003 in words is "ten billion, three hundred twelve million, one hundred twenty-three thousand, three".

Divisors: 1 7 13 91 4463 25391 31241 58019 177737 330083 406133 2310581 113320033 793240231 1473160429 10312123003