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13020031321020 = 2234515217528163
BaseRepresentation
bin1011110101110111011001…
…0101111000001110111100
31201002200222100222001220000
42331131312111320032330
53201310011004233040
643405153025154300
72512444341125253
oct275356625701674
951080870861800
1013020031321020
11416a845281759
12156345218b990
13735a259ab3a9
1433025c54179a
15178a3303d130
hexbd7765783bc

13020031321020 has 120 divisors (see below), whose sum is σ = 40847081939664. Its totient is φ = 3471773612544.

The previous prime is 13020031320937. The next prime is 13020031321043. The reversal of 13020031321020 is 2012313002031.

13020031321020 is a `hidden beast` number, since 130 + 200 + 313 + 2 + 1 + 0 + 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 = 13020031320984 and 13020031321002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24387459 + ... + 24915621.

Almost surely, 213020031321020 is an apocalyptic number.

13020031321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020031321020 is an abundant number, since it is smaller than the sum of its proper divisors (27827050618644).

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

13020031321020 is a wasteful number, since it uses less digits than its factorization.

13020031321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543401 (or 543390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13020031321020 its reverse (2012313002031), we get a palindrome (15032344323051).

The spelling of 13020031321020 in words is "thirteen trillion, twenty billion, thirty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 15217 30434 45651 60868 76085 91302 136953 152170 182604 228255 273906 304340 410859 456510 528163 547812 684765 821718 913020 1056326 1232577 1369530 1584489 1643436 2054295 2112652 2465154 2640815 2739060 3168978 4108590 4753467 4930308 5281630 6162885 6337956 7922445 8217180 9506934 10563260 12325770 14260401 15844890 19013868 23767335 24651540 28520802 31689780 42781203 47534670 57041604 71302005 85562406 95069340 142604010 171124812 213906015 285208020 427812030 855624060 8037056371 16074112742 24111169113 32148225484 40185281855 48222338226 72333507339 80370563710 96444676452 120555845565 144667014678 160741127420 217000522017 241111691130 289334029356 361667536695 434001044034 482223382260 651001566051 723335073390 868002088068 1085002610085 1302003132102 1446670146780 2170005220170 2604006264204 3255007830255 4340010440340 6510015660510 13020031321020