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130303330120 = 23529831737823
BaseRepresentation
bin111100101011010101…
…1110000011101001000
3110110100001201000022201
41321112223300131020
54113330123030440
6135505512325544
712262016013505
oct1712653603510
9413301630281
10130303330120
1150296918587
12213063a38b4
13c39799a302
1464418a84ac
1535c97ce19a
hex1e56af0748

130303330120 has 128 divisors (see below), whose sum is σ = 308760076800. Its totient is φ = 49424026624.

The previous prime is 130303330093. The next prime is 130303330139. The reversal of 130303330120 is 21033303031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16652529 + ... + 16660351.

It is an arithmetic number, because the mean of its divisors is an integer number (2412188100).

Almost surely, 2130303330120 is an apocalyptic number.

130303330120 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 130303330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154380038400).

130303330120 is an abundant number, since it is smaller than the sum of its proper divisors (178456746680).

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

130303330120 is a wasteful number, since it uses less digits than its factorization.

130303330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 130303330120 its reverse (21033303031), we get a palindrome (151336633151).

The spelling of 130303330120 in words is "one hundred thirty billion, three hundred three million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 83 116 145 166 173 232 290 332 346 415 580 664 692 830 865 1160 1384 1660 1730 2407 3320 3460 4814 5017 6920 7823 9628 10034 12035 14359 15646 19256 20068 24070 25085 28718 31292 39115 40136 48140 50170 57436 62584 71795 78230 96280 100340 114872 143590 156460 200680 226867 287180 312920 416411 453734 574360 649309 832822 907468 1134335 1298618 1353379 1665644 1814936 2082055 2268670 2597236 2706758 3246545 3331288 4164110 4537340 5194472 5413516 6493090 6766895 8328220 9074680 10827032 12986180 13533790 16656440 18829961 25972360 27067580 37659922 39247991 54135160 75319844 78495982 94149805 112330457 150639688 156991964 188299610 196239955 224660914 313983928 376599220 392479910 449321828 561652285 753198440 784959820 898643656 1123304570 1569919640 2246609140 3257583253 4493218280 6515166506 13030333012 16287916265 26060666024 32575832530 65151665060 130303330120