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100434101212302 = 231113217529665439
BaseRepresentation
bin10110110101100000100010…
…111011010001010010001110
3111011121101222012022222021120
4112311200202323101102032
5101131003014402243202
6553334442242141410
730104060440440264
oct2665404273212216
9434541865288246
10100434101212302
112a001954906060
12b320975351866
134406b83717300
141ab3071d9c434
15b927c4dab0bc
hex5b5822ed148e

100434101212302 has 96 divisors (see below), whose sum is σ = 251239386147840. Its totient is φ = 26440898664960.

The previous prime is 100434101212279. The next prime is 100434101212309. The reversal of 100434101212302 is 203212101434001.

It is a super-2 number, since 2×1004341012123022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434101212309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264643102 + ... + 265022337.

It is an arithmetic number, because the mean of its divisors is an integer number (2617076939040).

Almost surely, 2100434101212302 is an apocalyptic number.

100434101212302 is an abundant number, since it is smaller than the sum of its proper divisors (150805284935538).

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

100434101212302 is a wasteful number, since it uses less digits than its factorization.

100434101212302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529665498 (or 529665485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100434101212302 its reverse (203212101434001), we get a palindrome (303646202646303).

The spelling of 100434101212302 in words is "one hundred trillion, four hundred thirty-four billion, one hundred one million, two hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 221 286 338 374 429 442 507 561 663 858 1014 1122 1326 1859 2431 2873 3718 4862 5577 5746 7293 8619 11154 14586 17238 31603 63206 94809 189618 529665439 1059330878 1588996317 3177992634 5826319829 6885650707 9004312463 11652639658 13771301414 17478959487 18008624926 20656952121 27012937389 34957918974 41313904242 54025874778 75742157777 89513459191 99047437093 117056062019 151484315554 179026918382 198094874186 227226473331 234112124038 268540377573 297142311279 351168186057 454452946662 537080755146 594284622558 702336372114 984648051101 1287616682209 1521728806247 1969296102202 2575233364418 2953944153303 3043457612494 3862850046627 4565186418741 5907888306606 7725700093254 9130372837482 16739016868717 33478033737434 50217050606151 100434101212302