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103300330122 = 2321110717472791
BaseRepresentation
bin110000000110100101…
…1011111001010001010
3100212122011210111001200
41200031023133022022
53143024341030442
6115242220325030
710314610214133
oct1401513371212
9325564714050
10103300330122
113a89a385a60
121802b0a3776
1399834a90c2
144ddd4c4c8a
152a48d5534c
hex180d2df28a

103300330122 has 96 divisors (see below), whose sum is σ = 246675746304. Its totient is φ = 30981722400.

The previous prime is 103300330097. The next prime is 103300330151. The reversal of 103300330122 is 221033003301.

103300330122 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 330 + 1 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103300330095 and 103300330104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37010547 + ... + 37013337.

It is an arithmetic number, because the mean of its divisors is an integer number (2569539024).

Almost surely, 2103300330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103300330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123337873152).

103300330122 is an abundant number, since it is smaller than the sum of its proper divisors (143375416182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103300330122 is a wasteful number, since it uses less digits than its factorization.

103300330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103300330122 its reverse (221033003301), we get a palindrome (324333333423).

The spelling of 103300330122 in words is "one hundred three billion, three hundred million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1747 1926 2354 2791 3494 3531 5241 5582 7062 8373 10482 10593 15723 16746 19217 21186 25119 30701 31446 38434 50238 57651 61402 92103 115302 172953 184206 186929 276309 298637 345906 373858 552618 560787 597274 895911 1121574 1682361 1791822 2056219 2687733 3285007 3364722 4112438 4875877 5375466 6168657 6570014 9751754 9855021 12337314 14627631 18505971 19710042 29255262 29565063 37011942 43882893 53634647 59130126 87765786 107269294 160903941 321807882 482711823 521718839 965423646 1043437678 1565156517 3130313034 4695469551 5738907229 9390939102 11477814458 17216721687 34433443374 51650165061 103300330122