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100323301313202 = 2311101751129715451
BaseRepresentation
bin10110110011111001010110…
…101111001100101010110010
3111011012210222100202220121220
4112303321112233030222302
5101122144110114010302
6553211515515525510
730063055634023422
oct2663712657145262
9434183870686556
10100323301313202
1129a69967193a10
12b3033b2759896
1343c95a65a1436
141aab960878482
15b8e98c95b4bc
hex5b3e56bccab2

100323301313202 has 128 divisors (see below), whose sum is σ = 221533748637696. Its totient is φ = 30034800000000.

The previous prime is 100323301313173. The next prime is 100323301313299. The reversal of 100323301313202 is 202313103323001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6492989577 + ... + 6493005027.

It is an arithmetic number, because the mean of its divisors is an integer number (1730732411232).

Almost surely, 2100323301313202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323301313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110766874318848).

100323301313202 is an abundant number, since it is smaller than the sum of its proper divisors (121210447324494).

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

100323301313202 is a wasteful number, since it uses less digits than its factorization.

100323301313202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17616.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100323301313202 its reverse (202313103323001), we get a palindrome (302636404636203).

The spelling of 100323301313202 in words is "one hundred trillion, three hundred twenty-three billion, three hundred one million, three hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 751 1111 1297 1502 2222 2253 2594 3333 3891 4506 6666 7782 8261 14267 15451 16522 24783 28534 30902 42801 46353 49566 75851 85602 92706 130997 151702 169961 227553 261994 339922 392991 455106 509883 785982 834361 974047 1019766 1440967 1560551 1668722 1948094 2503083 2881934 2922141 3121102 4322901 4681653 5006166 5844282 8645802 9363306 10714517 11603701 17166061 20039947 21429034 23207402 32143551 34332122 34811103 40079894 51498183 60119841 64287102 69622206 98378747 102996366 120239682 127640711 196757494 220439417 255281422 295136241 382922133 440878834 590272482 661318251 765844266 1082166217 1171973801 1322636502 2024034647 2164332434 2343947602 3246498651 3515921403 4048069294 6072103941 6492997302 7031842806 12144207882 12891711811 15050000197 22264381117 25783423622 30100000394 38675135433 44528762234 45150000591 66793143351 77350270866 90300001182 133586286702 165550002167 331100004334 496650006501 993300013002 1520050019897 3040100039794 4560150059691 9120300119382 16720550218867 33441100437734 50161650656601 100323301313202