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13303142111000 = 235372292182913
BaseRepresentation
bin1100000110010110000100…
…0011110101011100011000
31202002202201211212100000002
43001211201003311130120
53220424313340023000
644143213520032132
72542056156131360
oct301454103653430
952082654770002
1013303142111000
114269915a00545
1215aa2a3462648
137566337676b1
1433dc385a39a0
151810a2b0b8d5
hexc19610f5718

13303142111000 has 128 divisors (see below), whose sum is σ = 35578384133760. Its totient is φ = 4560823296000.

The previous prime is 13303142110987. The next prime is 13303142111003. The reversal of 13303142111000 is 11124130331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303142111003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160405544 + ... + 160488456.

It is an arithmetic number, because the mean of its divisors is an integer number (277956126045).

Almost surely, 213303142111000 is an apocalyptic number.

13303142111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303142111000 is an abundant number, since it is smaller than the sum of its proper divisors (22275242022760).

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

13303142111000 is a wasteful number, since it uses less digits than its factorization.

13303142111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105862 (or 105848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13303142111000 its reverse (11124130331), we get a palindrome (13314266241331).

The spelling of 13303142111000 in words is "thirteen trillion, three hundred three billion, one hundred forty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 22921 45842 82913 91684 114605 160447 165826 183368 229210 320894 331652 414565 458420 573025 580391 641788 663304 802235 829130 916840 1146050 1160782 1283576 1604470 1658260 2072825 2292100 2321564 2865125 2901955 3208940 3316520 4011175 4145650 4584200 4643128 5730250 5803910 6417880 8022350 8291300 10364125 11460500 11607820 14509775 16044700 16582600 20055875 20728250 22921000 23215640 29019550 32089400 40111750 41456500 58039100 72548875 80223500 82913000 116078200 145097750 160447000 290195500 580391000 1900448873 3800897746 7601795492 9502244365 13303142111 15203590984 19004488730 26606284222 38008977460 47511221825 53212568444 66515710555 76017954920 95022443650 106425136888 133031421110 190044887300 237556109125 266062842220 332578552775 380089774600 475112218250 532125684440 665157105550 950224436500 1330314211100 1662892763875 1900448873000 2660628422200 3325785527750 6651571055500 13303142111000