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103221330013 = 312107410333
BaseRepresentation
bin110000000100001111…
…0001000000001011101
3100212102200010212021201
41200020132020001131
53142344130030023
6115230315155501
710312630554124
oct1401036100135
9325380125251
10103221330013
113a85982800a
1218008745b91
139970008b89
144dd2bdcabb
152a41e4cbad
hex180878805d

103221330013 has 6 divisors (see below), whose sum is σ = 106658461662. Its totient is φ = 99891608760.

The previous prime is 103221330007. The next prime is 103221330041. The reversal of 103221330013 is 310033122301.

It can be written as a sum of positive squares in only one way, i.e., 103084018489 + 137311524 = 321067^2 + 11718^2 .

It is not a de Polignac number, because 103221330013 - 29 = 103221329501 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 (103221330053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53704206 + ... + 53706127.

It is an arithmetic number, because the mean of its divisors is an integer number (17776410277).

Almost surely, 2103221330013 is an apocalyptic number.

It is an amenable number.

103221330013 is a deficient number, since it is larger than the sum of its proper divisors (3437131649).

103221330013 is an equidigital number, since it uses as much as digits as its factorization.

103221330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107410395 (or 107410364 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103221330013 its reverse (310033122301), we get a palindrome (413254452314).

The spelling of 103221330013 in words is "one hundred three billion, two hundred twenty-one million, three hundred thirty thousand, thirteen".

Divisors: 1 31 961 107410333 3329720323 103221330013