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1303130430 = 23457311739
BaseRepresentation
bin100110110101100…
…0011000100111110
310100211001212220000
41031223003010332
510132100133210
6333150335130
744202266040
oct11553030476
93324055800
101303130430
116096461a8
123044ba4a6
13179c92ac4
14c50d7a90
157960cac0
hex4dac313e

1303130430 has 160 divisors (see below), whose sum is σ = 4022853120. Its totient is φ = 296498880.

The previous prime is 1303130377. The next prime is 1303130443. The reversal of 1303130430 is 340313031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1763001 + ... + 1763739.

It is an arithmetic number, because the mean of its divisors is an integer number (25142832).

Almost surely, 21303130430 is an apocalyptic number.

1303130430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011426560).

1303130430 is an abundant number, since it is smaller than the sum of its proper divisors (2719722690).

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

1303130430 is a wasteful number, since it uses less digits than its factorization.

1303130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

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

The square root of 1303130430 is about 36098.8979056148. The cubic root of 1303130430 is about 1092.2682139138.

Adding to 1303130430 its reverse (340313031), we get a palindrome (1643443461).

The spelling of 1303130430 in words is "one billion, three hundred three million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 311 315 378 405 567 622 630 739 810 933 945 1134 1478 1555 1866 1890 2177 2217 2799 2835 3110 3695 4354 4434 4665 5173 5598 5670 6531 6651 7390 8397 9330 10346 10885 11085 13062 13302 13995 15519 16794 19593 19953 21770 22170 25191 25865 27990 31038 32655 33255 39186 39906 41985 46557 50382 51730 58779 59859 65310 66510 77595 83970 93114 97965 99765 117558 119718 125955 139671 155190 176337 195930 199530 229829 232785 251910 279342 293895 299295 352674 419013 459658 465570 587790 598590 689487 698355 838026 881685 1149145 1378974 1396710 1608803 1763370 2068461 2095065 2298290 3217606 3447435 4136922 4190130 4826409 6205383 6894870 8044015 9652818 10342305 12410766 14479227 16088030 18616149 20684610 24132045 28958454 31026915 37232298 43437681 48264090 62053830 72396135 86875362 93080745 130313043 144792270 186161490 217188405 260626086 434376810 651565215 1303130430