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130123320 = 23355918379
BaseRepresentation
bin1111100000110…
…00011000111000
3100001211221122020
413300120120320
5231302421240
620524554440
73140013165
oct760303070
9301757566
10130123320
11674a6638
12376b2a20
1320c5c962
14133d306c
15b6550d0
hex7c18638

130123320 has 64 divisors (see below), whose sum is σ = 397008000. Its totient is φ = 34109568.

The previous prime is 130123291. The next prime is 130123369. The reversal of 130123320 is 23321031.

130123320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130123320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (6203250).

Almost surely, 2130123320 is an apocalyptic number.

130123320 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 130123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198504000).

130123320 is an abundant number, since it is smaller than the sum of its proper divisors (266884680).

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

130123320 is a wasteful number, since it uses less digits than its factorization.

130123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18452 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130123320 is about 11407.1609088327. The cubic root of 130123320 is about 506.7398343856.

Adding to 130123320 its reverse (23321031), we get a palindrome (153444351).

The spelling of 130123320 in words is "one hundred thirty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 18379 36758 55137 73516 91895 110274 147032 183790 220548 275685 367580 441096 551370 735160 1084361 1102740 2168722 2205480 3253083 4337444 5421805 6506166 8674888 10843610 13012332 16265415 21687220 26024664 32530830 43374440 65061660 130123320