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13030123320 = 233457389619
BaseRepresentation
bin11000010001010011…
…11110011100111000
31020122002110211220000
430020221332130320
5203141202421240
65552544433000
7640620135504
oct141051763470
936562424800
1013030123320
11558718a565
122637918760
1312c86bab56
148b876b304
15513e02430
hex308a7e738

13030123320 has 320 divisors, whose sum is σ = 44966988000. Its totient is φ = 3383119872.

The previous prime is 13030123303. The next prime is 13030123339. The reversal of 13030123320 is 2332103031.

13030123320 is a `hidden beast` number, since 1 + 30 + 301 + 2 + 332 + 0 = 666.

13030123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130301233202 (a number of 21 digits) contains 22 as substring.

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 = 13030123293 and 13030123302.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 21049971 + ... + 21050589.

Almost surely, 213030123320 is an apocalyptic number.

13030123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483494000).

13030123320 is an abundant number, since it is smaller than the sum of its proper divisors (31936864680).

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

13030123320 is a wasteful number, since it uses less digits than its factorization.

13030123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

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

Adding to 13030123320 its reverse (2332103031), we get a palindrome (15362226351).

The spelling of 13030123320 in words is "thirteen billion, thirty million, one hundred twenty-three thousand, three hundred twenty".