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10103001321 = 372320917187
BaseRepresentation
bin10010110100010111…
…11001000011101001
3222002002120122101010
421122023321003221
5131142332020241
64350302214133
7505235044230
oct113213710351
928062518333
1010103001321
114314976476
121b5b584349
13c501420ba
146bbad5b17
153e1e56d16
hex25a2f90e9

10103001321 has 16 divisors (see below), whose sum is σ = 16064400384. Its totient is φ = 5522137104.

The previous prime is 10103001319. The next prime is 10103001371. The reversal of 10103001321 is 12310030101.

10103001321 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 10103001321 - 21 = 10103001319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103001297 and 10103001306.

It is not an unprimeable number, because it can be changed into a prime (10103001371) 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, 10458111 + ... + 10459076.

It is an arithmetic number, because the mean of its divisors is an integer number (1004025024).

Almost surely, 210103001321 is an apocalyptic number.

It is an amenable number.

10103001321 is a deficient number, since it is larger than the sum of its proper divisors (5961399063).

10103001321 is a wasteful number, since it uses less digits than its factorization.

10103001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20917220.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10103001321 its reverse (12310030101), we get a palindrome (22413031422).

The spelling of 10103001321 in words is "ten billion, one hundred three million, one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 23 69 161 483 20917187 62751561 146420309 439260927 481095301 1443285903 3367667107 10103001321