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13122103001 = 727734919391
BaseRepresentation
bin11000011100010001…
…10110011011011001
31020212111112220021212
430032020312123121
5203333224244001
610010032112505
7643115015030
oct141610663331
936774486255
1013122103001
1156240a3227
122662695735
131311783bb7
148c6a71717
1551c0207bb
hex30e2366d9

13122103001 has 16 divisors (see below), whose sum is σ = 15094732800. Its totient is φ = 11174224320.

The previous prime is 13122102979. The next prime is 13122103009. The reversal of 13122103001 is 10030122131.

13122103001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13122103001 - 210 = 13122101977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13122103009) 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, 667016 + ... + 686406.

It is an arithmetic number, because the mean of its divisors is an integer number (943420800).

Almost surely, 213122103001 is an apocalyptic number.

It is an amenable number.

13122103001 is a deficient number, since it is larger than the sum of its proper divisors (1972629799).

13122103001 is a wasteful number, since it uses less digits than its factorization.

13122103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20024.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13122103001 its reverse (10030122131), we get a palindrome (23152225132).

The spelling of 13122103001 in words is "thirteen billion, one hundred twenty-two million, one hundred three thousand, one".

Divisors: 1 7 277 349 1939 2443 19391 96673 135737 676711 5371307 6767459 37599149 47372213 1874586143 13122103001