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13300311530000 = 245411210991993
BaseRepresentation
bin1100000110001011100001…
…0110000001101000010000
31202002111102120121220211202
43001202320112001220100
53220403014222430000
644142025002530332
72541626055444545
oct301427026015020
952074376556752
1013300311530000
1142686a3136100
1215a98335069a8
137562a21c0bb1
1433da4a69cbcc
15180e89380dd5
hexc18b8581a10

13300311530000 has 150 divisors (see below), whose sum is σ = 35394913175622. Its totient is φ = 4836476480000.

The previous prime is 13300311529991. The next prime is 13300311530083. The reversal of 13300311530000 is 3511300331.

It can be written as a sum of positive squares in 5 ways, for example, as 6299778724096 + 7000532805904 = 2509936^2 + 2645852^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4285997 + ... + 6705996.

Almost surely, 213300311530000 is an apocalyptic number.

13300311530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300311530000 is an abundant number, since it is smaller than the sum of its proper divisors (22094601645622).

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

13300311530000 is a wasteful number, since it uses less digits than its factorization.

13300311530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992043 (or 10992011 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

Adding to 13300311530000 its reverse (3511300331), we get a palindrome (13303822830331).

The spelling of 13300311530000 in words is "thirteen trillion, three hundred billion, three hundred eleven million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 1210000 10991993 21983986 43967972 54959965 87935944 109919930 120911923 175871888 219839860 241823846 274799825 439679720 483647692 549599650 604559615 879359440 967295384 1099199300 1209119230 1330031153 1373999125 1934590768 2198398600 2418238460 2660062306 2747998250 3022798075 4396797200 4836476920 5320124612 5495996500 6045596150 6650155765 6869995625 9672953840 10640249224 10991993000 12091192300 13300311530 13739991250 15113990375 21280498448 21983986000 24182384600 26600623060 27479982500 30227980750 33250778825 48364769200 53201246120 54959965000 60455961500 66501557650 75569951875 106402492240 109919930000 120911923000 133003115300 151139903750 166253894125 241823846000 266006230600 302279807500 332507788250 532012461200 604559615000 665015576500 831269470625 1209119230000 1330031153000 1662538941250 2660062306000 3325077882500 6650155765000 13300311530000