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1303430444220 = 223597451949559
BaseRepresentation
bin10010111101111010100…
…000100011010010111100
311121121101022100002000210
4102331322200203102330
5132323411143203340
62434442045552420
7163112135654442
oct22757240432274
94547338302023
101303430444220
11462866561763
12190744275710
1395bb3a1c4a8
144712cddcb92
1523d8a193180
hex12f7a8234bc

1303430444220 has 96 divisors (see below), whose sum is σ = 3688120396800. Its totient is φ = 343915075584.

The previous prime is 1303430444219. The next prime is 1303430444249. The reversal of 1303430444220 is 224440343031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26275801 + ... + 26325359.

It is an arithmetic number, because the mean of its divisors is an integer number (38417920800).

Almost surely, 21303430444220 is an apocalyptic number.

1303430444220 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 1303430444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844060198400).

1303430444220 is an abundant number, since it is smaller than the sum of its proper divisors (2384689952580).

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

1303430444220 is a wasteful number, since it uses less digits than its factorization.

1303430444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187 (or 54185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1303430444220 its reverse (224440343031), we get a palindrome (1527870787251).

The spelling of 1303430444220 in words is "one trillion, three hundred three billion, four hundred thirty million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 4519 5820 9038 13557 18076 22595 27114 45190 49559 54228 67785 90380 99118 135570 148677 198236 247795 271140 297354 438343 495590 594708 743385 876686 991180 1315029 1486770 1753372 2191715 2630058 2973540 4383430 4807223 5260116 6575145 8766860 9614446 13150290 14421669 19228892 24036115 26300580 28843338 48072230 57686676 72108345 96144460 144216690 223957121 288433380 447914242 671871363 895828484 1119785605 1343742726 2239571210 2687485452 3359356815 4479142420 6718713630 13437427260 21723840737 43447681474 65171522211 86895362948 108619203685 130343044422 217238407370 260686088844 325857611055 434476814740 651715222110 1303430444220