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103300112301330 = 23572288172438567
BaseRepresentation
bin10111011111001101101110…
…011111111011110100010010
3111112202101122102211022221110
4113133031232133323310102
5102014432112222120310
61003411225542234150
730521121036650100
oct2737155637736422
9445671572738843
10103300112301330
112aa0737140286a
12b704306725956
13458420ab34429
141b71a75b20c70
15be21164a6d20
hex5df36e7fbd12

103300112301330 has 96 divisors (see below), whose sum is σ = 288407174368896. Its totient is φ = 23610625199616.

The previous prime is 103300112301317. The next prime is 103300112301361. The reversal of 103300112301330 is 33103211003301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103300112301297 and 103300112301306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41141707 + ... + 43580273.

It is an arithmetic number, because the mean of its divisors is an integer number (3004241399676).

Almost surely, 2103300112301330 is an apocalyptic number.

103300112301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103300112301330 is an abundant number, since it is smaller than the sum of its proper divisors (185107062067566).

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

103300112301330 is a wasteful number, since it uses less digits than its factorization.

103300112301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467408 (or 2467401 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103300112301330 its reverse (33103211003301), we get a palindrome (136403323304631).

The spelling of 103300112301330 in words is "one hundred three trillion, three hundred billion, one hundred twelve million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 28817 57634 86451 144085 172902 201719 288170 403438 432255 605157 864510 1008595 1210314 1412033 2017190 2438567 2824066 3025785 4236099 4877134 6051570 7060165 7315701 8472198 12192835 14120330 14631402 17069969 21180495 24385670 34139938 36578505 42360990 51209907 73157010 85349845 102419814 119489783 170699690 238979566 256049535 358469349 512099070 597448915 716938698 1194897830 1792346745 3584693490 70272185239 140544370478 210816555717 351360926195 421633111434 491905296673 702721852390 983810593346 1054082778585 1475715890019 2108165557170 2459526483365 2951431780038 3443337076711 4919052966730 6886674153422 7378579450095 10330011230133 14757158900190 17216685383555 20660022460266 34433370767110 51650056150665 103300112301330