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13430003221120 = 27548714308023
BaseRepresentation
bin1100001101101110101010…
…0100100100001010000000
31202112220012000102110012011
43003123222210210022000
53230014121311033440
644321354105542304
72554166666565313
oct303335244441200
952486160373164
1013430003221120
1143086a5776202
12160a9a8aa4994
137655a0248a25
14346030c3097a
1518452a0e39ea
hexc36ea924280

13430003221120 has 64 divisors (see below), whose sum is σ = 32112700179840. Its totient is φ = 5370897187840.

The previous prime is 13430003221097. The next prime is 13430003221199. The reversal of 13430003221120 is 2112230003431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×134300032211202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13430003221091 and 13430003221100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 963429 + ... + 5271451.

It is an arithmetic number, because the mean of its divisors is an integer number (501760940310).

Almost surely, 213430003221120 is an apocalyptic number.

13430003221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430003221120 is an abundant number, since it is smaller than the sum of its proper divisors (18682696958720).

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

13430003221120 is an equidigital number, since it uses as much as digits as its factorization.

13430003221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312913 (or 4312901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13430003221120 its reverse (2112230003431), we get a palindrome (15542233224551).

The spelling of 13430003221120 in words is "thirteen trillion, four hundred thirty billion, three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 4871 9742 19484 24355 38968 48710 77936 97420 155872 194840 311744 389680 623488 779360 1558720 3117440 4308023 8616046 17232092 21540115 34464184 43080230 68928368 86160460 137856736 172320920 275713472 344641840 551426944 689283680 1378567360 2757134720 20984380033 41968760066 83937520132 104921900165 167875040264 209843800330 335750080528 419687600660 671500161056 839375201320 1343000322112 1678750402640 2686000644224 3357500805280 6715001610560 13430003221120