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13011030000330 = 23541113143965053
BaseRepresentation
bin1011110101010101110111…
…0100100100001011001010
31201001211202001101121020020
42331111131310210023022
53201133042140002310
643401103515441310
72512005311143635
oct275253564441312
951054661347206
1013011030000330
114166a4626924a
12156175b756236
13734c1cb87c2b
1432da46ca4c1c
151786a7ba0170
hexbd55dd242ca

13011030000330 has 128 divisors (see below), whose sum is σ = 32294096271360. Its totient is φ = 3352644771840.

The previous prime is 13011030000329. The next prime is 13011030000341. The reversal of 13011030000330 is 3300003011031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199974084 + ... + 200039136.

It is an arithmetic number, because the mean of its divisors is an integer number (252297627120).

Almost surely, 213011030000330 is an apocalyptic number.

13011030000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011030000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147048135680).

13011030000330 is an abundant number, since it is smaller than the sum of its proper divisors (19283066271030).

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

13011030000330 is a wasteful number, since it uses less digits than its factorization.

13011030000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66656.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13011030000330 its reverse (3300003011031), we get a palindrome (16311033011361).

The spelling of 13011030000330 in words is "thirteen trillion, eleven billion, thirty million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 41 82 113 123 205 226 246 339 410 565 615 678 1130 1230 1439 1695 2878 3390 4317 4633 7195 8634 9266 13899 14390 21585 23165 27798 43170 46330 58999 65053 69495 117998 130106 138990 162607 176997 195159 294995 325214 325265 353994 390318 487821 589990 650530 813035 884985 975642 975795 1626070 1769970 1951590 2439105 2667173 4878210 5334346 6666887 7350989 8001519 13333774 13335865 14701978 16003038 20000661 22052967 26671730 33334435 36754945 40001322 40007595 44105934 66668870 73509890 80015190 93611267 100003305 110264835 187222534 200006610 220529670 280833801 301390549 468056335 561667602 602781098 904171647 936112670 1404169005 1506952745 1808343294 2808338010 3013905490 3838061947 4520858235 7676123894 9041716470 10578073171 11514185841 19190309735 21156146342 23028371682 31734219513 38380619470 52890365855 57570929205 63468439026 105780731710 115141858410 158671097565 317342195130 433701000011 867402000022 1301103000033 2168505000055 2602206000066 4337010000110 6505515000165 13011030000330