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30142333324103 = 711131011938231877
BaseRepresentation
bin1101101101010000011110…
…00100100000101101000111
310221201120122000221210011112
412312220033010200231013
512422322444312332403
6144035110300155235
76230466055601540
oct666501704405507
9127646560853145
1030142333324103
119671323397120
123469952538b1b
1313a85435433a0
14762c7a83d4c7
153741107a09d8
hex1b6a0f120b47

30142333324103 has 128 divisors (see below), whose sum is σ = 41155129257984. Its totient is φ = 21317603328000.

The previous prime is 30142333324043. The next prime is 30142333324111.

30142333324103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30142333324103 - 28 = 30142333323847 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30142333324103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142333324183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16058780801 + ... + 16058782677.

It is an arithmetic number, because the mean of its divisors is an integer number (321524447328).

Almost surely, 230142333324103 is an apocalyptic number.

30142333324103 is a deficient number, since it is larger than the sum of its proper divisors (11012795933881).

30142333324103 is a wasteful number, since it uses less digits than its factorization.

30142333324103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 3014233 and 3324103, that added together give a palindrome (6338336).

The spelling of 30142333324103 in words is "thirty trillion, one hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, one hundred three".

Divisors: 1 7 11 13 77 91 101 143 193 707 823 1001 1111 1313 1351 1877 2123 2509 5761 7777 9053 9191 10699 13139 14443 14861 17563 19493 20647 24401 27599 63371 74893 83123 101101 117689 136451 144529 158839 170807 189577 193193 214423 253409 268411 362261 581861 823823 914353 1080599 1111873 1327039 1500961 1544771 1747229 1773863 1878877 2064907 2085347 2464501 2535827 2787499 3984871 4709393 6400471 7564193 10813397 11886589 12230603 14454349 14597429 16042739 16992481 17251507 19512493 20082023 22713977 27109511 27894097 32965751 36588361 51803323 83206123 112299173 118947367 140574161 156021871 158997839 176470129 189766577 208555607 220902253 256118527 298140803 362623261 402471971 475648693 1092153097 1235290903 1459889249 1546315771 1716240581 2028284323 2086985621 2294111677 2817303797 3279548833 3329540851 3875830439 5232135623 12013684067 14197990261 16058781739 22311127553 22956841831 27130813073 30112221103 36624949361 42634134829 156177892871 210785547721 298438943803 331234432133 391458874339 2318641024931 2740212120373 4306047617729 30142333324103