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1303630020 = 2232571194057
BaseRepresentation
bin100110110110011…
…1101000011000100
310100212000021012100
41031230331003010
510132212130040
6333205152100
744206446420
oct11554750304
93325007170
101303630020
11609957590
123046bb630
1317a109314
14c51c7b80
15796aab30
hex4db3d0c4

1303630020 has 144 divisors (see below), whose sum is σ = 4930144128. Its totient is φ = 270881280.

The previous prime is 1303630007. The next prime is 1303630021. The reversal of 1303630020 is 200363031.

It is a happy number.

1303630020 is a `hidden beast` number, since 1 + 30 + 3 + 630 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1303629975 and 1303630002.

It is not an unprimeable number, because it can be changed into a prime (1303630021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33169 + ... + 60888.

It is an arithmetic number, because the mean of its divisors is an integer number (34237112).

Almost surely, 21303630020 is an apocalyptic number.

1303630020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303630020 is an abundant number, since it is smaller than the sum of its proper divisors (3626514108).

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

1303630020 is a wasteful number, since it uses less digits than its factorization.

1303630020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94090 (or 94085 counting only the distinct ones).

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

The square root of 1303630020 is about 36105.8169828630. The cubic root of 1303630020 is about 1092.4077795180.

Adding to 1303630020 its reverse (200363031), we get a palindrome (1503993051).

The spelling of 1303630020 in words is "one billion, three hundred three million, six hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 94057 188114 282171 376228 470285 564342 658399 846513 940570 1034627 1128684 1316798 1410855 1693026 1881140 1975197 2069254 2633596 2821710 3103881 3291995 3386052 3950394 4138508 4232565 5173135 5643420 5925591 6207762 6583990 7242389 7900788 8465130 9311643 9875985 10346270 11851182 12415524 13167980 14484778 15519405 16930260 18623286 19751970 20692540 21727167 23702364 28969556 29627955 31038810 36211945 37246572 39503940 43454334 46558215 59255910 62077620 65181501 72423890 86908668 93116430 108635835 118511820 130363002 144847780 186232860 217271670 260726004 325907505 434543340 651815010 1303630020