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130030003320 = 23357379408437
BaseRepresentation
bin111100100011001100…
…1000110010001111000
3110102122000101120102220
41321012121012101320
54112300140101240
6135422430124040
712252156535410
oct1710631062170
9412560346386
10130030003320
1150166602068
122124a950620
13c35317b189
146417479640
1535b07dd5d0
hex1e46646478

130030003320 has 128 divisors (see below), whose sum is σ = 446994547200. Its totient is φ = 29642651136.

The previous prime is 130030003309. The next prime is 130030003333. The reversal of 130030003320 is 23300030031.

It is a super-2 number, since 2×1300300033202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130030003320.

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 31 ways as a sum of consecutive naturals, for example, 114142 + ... + 522578.

It is an arithmetic number, because the mean of its divisors is an integer number (3492144900).

Almost surely, 2130030003320 is an apocalyptic number.

130030003320 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 130030003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223497273600).

130030003320 is an abundant number, since it is smaller than the sum of its proper divisors (316964543880).

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

130030003320 is a wasteful number, since it uses less digits than its factorization.

130030003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408837 (or 408833 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 130030003320 its reverse (23300030031), we get a palindrome (153330033351).

The spelling of 130030003320 in words is "one hundred thirty billion, thirty million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 379 420 758 840 1137 1516 1895 2274 2653 3032 3790 4548 5306 5685 7580 7959 9096 10612 11370 13265 15160 15918 21224 22740 26530 31836 39795 45480 53060 63672 79590 106120 159180 318360 408437 816874 1225311 1633748 2042185 2450622 2859059 3267496 4084370 4901244 5718118 6126555 8168740 8577177 9802488 11436236 12253110 14295295 16337480 17154354 22872472 24506220 28590590 34308708 42885885 49012440 57181180 68617416 85771770 114362360 154797623 171543540 309595246 343087080 464392869 619190492 773988115 928785738 1083583361 1238380984 1547976230 1857571476 2167166722 2321964345 3095952460 3250750083 3715142952 4334333444 4643928690 5417916805 6191904920 6501500166 8668666888 9287857380 10835833610 13003000332 16253750415 18575714760 21671667220 26006000664 32507500830 43343334440 65015001660 130030003320