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10321120321 = 19228590361
BaseRepresentation
bin10011001110010111…
…11100110001000001
3222122022000020101121
421213023330301001
5132114201322241
64424053232241
7513524034541
oct114713746101
928568006347
1010321120321
114417004506
122000632681
13c863a15b5
146dca73321
1540618ead1
hex2672fcc41

10321120321 has 6 divisors (see below), whose sum is σ = 10892927922. Its totient is φ = 9777903120.

The previous prime is 10321120309. The next prime is 10321120331. The reversal of 10321120321 is 12302112301.

10321120321 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 only one way, i.e., 6752730625 + 3568389696 = 82175^2 + 59736^2 .

It is not a de Polignac number, because 10321120321 - 223 = 10312731713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10321120295 and 10321120304.

It is not an unprimeable number, because it can be changed into a prime (10321120331) 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 5 ways as a sum of consecutive naturals, for example, 14294820 + ... + 14295541.

It is an arithmetic number, because the mean of its divisors is an integer number (1815487987).

Almost surely, 210321120321 is an apocalyptic number.

It is an amenable number.

10321120321 is a deficient number, since it is larger than the sum of its proper divisors (571807601).

10321120321 is an equidigital number, since it uses as much as digits as its factorization.

10321120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28590399 (or 28590380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10321120321 its reverse (12302112301), we get a palindrome (22623232622).

The spelling of 10321120321 in words is "ten billion, three hundred twenty-one million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 19 361 28590361 543216859 10321120321