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13135223343330 = 23251143308555869
BaseRepresentation
bin1011111100100100100001…
…0100100100100011100010
31201111201022022002002220200
42333021020110210203202
53210201414133441310
643534123250050030
72523663036143064
oct277111024444342
951451268062820
1013135223343330
114204687162aa0
12158183b879916
13743852a59c3a
14335a690cd734
1517ba25d6c9c0
hexbf2485248e2

13135223343330 has 96 divisors (see below), whose sum is σ = 38122694850240. Its totient is φ = 3110243149440.

The previous prime is 13135223343283. The next prime is 13135223343349. The reversal of 13135223343330 is 3334332253131.

13135223343330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 52 + 233 + 43 + 330 = 666.

It is a super-2 number, since 2×131352233433302 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154235365 + ... + 154320504.

It is an arithmetic number, because the mean of its divisors is an integer number (397111404690).

Almost surely, 213135223343330 is an apocalyptic number.

13135223343330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13135223343330 is an abundant number, since it is smaller than the sum of its proper divisors (24987471506910).

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

13135223343330 is a wasteful number, since it uses less digits than its factorization.

13135223343330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308555936 (or 308555933 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

Adding to 13135223343330 its reverse (3334332253131), we get a palindrome (16469555596461).

The spelling of 13135223343330 in words is "thirteen trillion, one hundred thirty-five billion, two hundred twenty-three million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 14190 21285 42570 308555869 617111738 925667607 1542779345 1851335214 2777002821 3085558690 3394114559 4628338035 5554005642 6788229118 9256676070 10182343677 13267902367 13885014105 16970572795 20364687354 26535804734 27770028210 30547031031 33941145590 39803707101 50911718385 61094062062 66339511835 79607414202 101823436770 119411121303 132679023670 145946926037 152735155155 199018535505 238822242606 291893852074 305470310310 398037071010 437840778111 597055606515 729734630185 875681556222 1194111213030 1313522334333 1459469260370 2189203890555 2627044668666 4378407781110 6567611671665 13135223343330