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13023303011020 = 22519372761133547
BaseRepresentation
bin1011110110000011100101…
…0110011000101011001100
31201010000102101020010211201
42331200321112120223030
53201333211032323040
643410453420555244
72512621406051131
oct275407126305314
951100371203751
1013023303011020
11417117403a895
1215640059b2b24
1373612775aa33
1433048cc6c588
15178b7539ca9a
hexbd839598acc

13023303011020 has 96 divisors (see below), whose sum is σ = 29568369841920. Its totient is φ = 4801447031040.

The previous prime is 13023303011003. The next prime is 13023303011021. The reversal of 13023303011020 is 2011030332031.

13023303011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13023303011021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388193887 + ... + 388227433.

It is an arithmetic number, because the mean of its divisors is an integer number (308003852520).

Almost surely, 213023303011020 is an apocalyptic number.

13023303011020 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 13023303011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784184920960).

13023303011020 is an abundant number, since it is smaller than the sum of its proper divisors (16545066830900).

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

13023303011020 is a wasteful number, since it uses less digits than its factorization.

13023303011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61223 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13023303011020 its reverse (2011030332031), we get a palindrome (15034333343051).

The spelling of 13023303011020 in words is "thirteen trillion, twenty-three billion, three hundred three million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 27611 33547 55222 67094 110444 134188 138055 167735 276110 335470 524609 552220 637393 670940 1021607 1049218 1241239 1274786 2043214 2098436 2482478 2549572 2623045 3186965 4086428 4964956 5108035 5246090 6206195 6373930 10216070 10492180 12412390 12747860 19410533 20432140 23583541 24824780 38821066 47167082 77642132 94334164 97052665 117917705 194105330 235835410 388210660 471670820 926266217 1852532434 3705064868 4631331085 9262662170 17599058123 18525324340 34271850029 35198116246 68543700058 70396232492 87995290615 137087400116 171359250145 175990581230 342718500290 351981162460 651165150551 685437000580 1302330301102 2604660602204 3255825752755 6511651505510 13023303011020