Search a number
-
+
13301031013020 = 22375304093073
BaseRepresentation
bin1100000110001110001100…
…1110101000101010011100
31202002120021201110110000000
43001203203032220222130
53220411002414404040
644142224223534300
72541652643112642
oct301434316505234
952076251413000
1013301031013020
114268a32282373
1215a99b445a390
137563882922aa
1433dab8069192
15180ecc601130
hexc18e33a8a9c

13301031013020 has 96 divisors (see below), whose sum is σ = 41891861874240. Its totient is φ = 3546941591808.

The previous prime is 13301031012977. The next prime is 13301031013043. The reversal of 13301031013020 is 2031013010331.

It is a happy number.

13301031013020 is a `hidden beast` number, since 1 + 3 + 301 + 0 + 310 + 1 + 30 + 20 = 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 = 13301031012984 and 13301031013002.

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, 152002797 + ... + 152090276.

It is an arithmetic number, because the mean of its divisors is an integer number (436373561190).

Almost surely, 213301031013020 is an apocalyptic number.

13301031013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301031013020 is an abundant number, since it is smaller than the sum of its proper divisors (28590830861220).

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

13301031013020 is an equidigital number, since it uses as much as digits as its factorization.

13301031013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304093103 (or 304093083 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13301031013020 its reverse (2031013010331), we get a palindrome (15332044023351).

The spelling of 13301031013020 in words is "thirteen trillion, three hundred one billion, thirty-one million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 7290 8748 10935 14580 21870 43740 304093073 608186146 912279219 1216372292 1520465365 1824558438 2736837657 3040930730 3649116876 4561396095 5473675314 6081861460 8210512971 9122792190 10947350628 13684188285 16421025942 18245584380 24631538913 27368376570 32842051884 41052564855 49263077826 54736753140 73894616739 82105129710 98526155652 123157694565 147789233478 164210259420 221683850217 246315389130 295578466956 369473083695 443367700434 492630778260 665051550651 738946167390 886735400868 1108419251085 1330103101302 1477892334780 2216838502170 2660206202604 3325257753255 4433677004340 6650515506510 13301031013020