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13111330003020 = 223251715128375817
BaseRepresentation
bin1011111011001011100000…
…1010101101100001001100
31201102102122010112122210200
42332302320022231201030
53204304000440044040
643515132320533500
72522155660122564
oct276627012554114
951372563478720
1013111330003020
1141a5535a7a857
121579091a81290
13741515896752
1433483dad9da4
1517b0c83e9630
hexbecb82ad84c

13111330003020 has 144 divisors (see below), whose sum is σ = 42389385974208. Its totient is φ = 3268894003200.

The previous prime is 13111330003007. The next prime is 13111330003081. The reversal of 13111330003020 is 2030003311131.

It is a happy number.

13111330003020 is a `hidden beast` number, since 1 + 31 + 1 + 1 + 330 + 0 + 0 + 302 + 0 = 666.

13111330003020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13111330002984 and 13111330003002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13725849 + ... + 14649968.

It is an arithmetic number, because the mean of its divisors is an integer number (294370735932).

Almost surely, 213111330003020 is an apocalyptic number.

13111330003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111330003020 is an abundant number, since it is smaller than the sum of its proper divisors (29278055971188).

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

13111330003020 is a wasteful number, since it uses less digits than its factorization.

13111330003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28376000 (or 28375995 counting only the distinct ones).

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

Adding to 13111330003020 its reverse (2030003311131), we get a palindrome (15141333314151).

The spelling of 13111330003020 in words is "thirteen trillion, one hundred eleven billion, three hundred thirty million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 151 153 170 180 204 255 302 306 340 453 510 604 612 755 765 906 1020 1359 1510 1530 1812 2265 2567 2718 3020 3060 4530 5134 5436 6795 7701 9060 10268 12835 13590 15402 23103 25670 27180 30804 38505 46206 51340 77010 92412 115515 154020 231030 462060 28375817 56751634 85127451 113503268 141879085 170254902 255382353 283758170 340509804 425637255 482388889 510764706 567516340 851274510 964777778 1021529412 1276911765 1447166667 1702549020 1929555556 2411944445 2553823530 2894333334 4284748367 4341500001 4823888890 5107647060 5788666668 7235833335 8569496734 8683000002 9647777780 12854245101 14471666670 17138993468 17366000004 21423741835 21707500005 25708490202 28943333340 38562735303 42847483670 43415000010 51416980404 64271225505 72840722239 77125470606 85694967340 86830000020 128542451010 145681444478 154250941212 192813676515 218522166717 257084902020 291362888956 364203611195 385627353030 437044333434 655566500151 728407222390 771254706060 874088666868 1092610833585 1311133000302 1456814444780 2185221667170 2622266000604 3277832500755 4370443334340 6555665001510 13111330003020