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13110110202000 = 243537312145481
BaseRepresentation
bin1011111011000110111101…
…1101100010100010010000
31201102022111010021100101010
42332301233131202202100
53204244001202431000
643514411304210520
72522113516024440
oct276615735424220
951368433240333
1013110110202000
1141a4a6a47a239
1215789b1469a40
1374137cc5b5b6
14334765ad4120
1517b05629bd50
hexbec6f762890

13110110202000 has 160 divisors (see below), whose sum is σ = 48305137630464. Its totient is φ = 2996596608000.

The previous prime is 13110110201983. The next prime is 13110110202001. The reversal of 13110110202000 is 20201101131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13110110202001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156030741 + ... + 156114740.

Almost surely, 213110110202000 is an apocalyptic number.

13110110202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110110202000 is an abundant number, since it is smaller than the sum of its proper divisors (35195027428464).

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

13110110202000 is a wasteful number, since it uses less digits than its factorization.

13110110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312145514 (or 312145498 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13110110202000 its reverse (20201101131), we get a palindrome (13130311303131).

The spelling of 13110110202000 in words is "thirteen trillion, one hundred ten billion, one hundred ten million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 312145481 624290962 936436443 1248581924 1560727405 1872872886 2185018367 2497163848 3121454810 3745745772 4370036734 4682182215 4994327696 6242909620 6555055101 7491491544 7803637025 8740073468 9364364430 10925091835 12485819240 13110110202 14982983088 15607274050 17480146936 18728728860 21850183670 23410911075 24971638480 26220220404 31214548100 32775275505 34960293872 37457457720 39018185125 43700367340 46821822150 52440440808 54625459175 62429096200 65550551010 74914915440 78036370250 87400734680 93643644300 104880881616 109250918350 117054555375 124858192400 131101102020 156072740500 163876377525 174801469360 187287288600 218501836700 234109110750 262202204040 273127295875 312145481000 327752755050 374574577200 437003673400 468218221500 524404408080 546254591750 624290962000 655505510100 819381887625 874007346800 936436443000 1092509183500 1311011020200 1638763775250 1872872886000 2185018367000 2622022040400 3277527550500 4370036734000 6555055101000 13110110202000