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20302312302328 = 23723191540715263
BaseRepresentation
bin1001001110111000000000…
…00111001110011011111000
32122212212211001101122212211
410213130000013032123320
510130113113422133303
6111102430431544504
74163536140134410
oct447340007163370
978785731348784
1020302312302328
1165181870182a1
12233a88338b134
13b436661a4274
145028cc511640
1525319a54666d
hex1277001ce6f8

20302312302328 has 128 divisors (see below), whose sum is σ = 45645582827520. Its totient is φ = 8277039239040.

The previous prime is 20302312302277. The next prime is 20302312302329. The reversal of 20302312302328 is 82320321320302.

It is a self number, because there is not a number n which added to its sum of digits gives 20302312302328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302312302329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330157625 + ... + 1330172887.

It is an arithmetic number, because the mean of its divisors is an integer number (356606115840).

Almost surely, 220302312302328 is an apocalyptic number.

20302312302328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302312302328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22822791413760).

20302312302328 is an abundant number, since it is smaller than the sum of its proper divisors (25343270525192).

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

20302312302328 is a wasteful number, since it uses less digits than its factorization.

20302312302328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 20302312302328 in words is "twenty trillion, three hundred two billion, three hundred twelve million, three hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 191 322 382 644 764 1288 1337 1528 2674 4393 5348 5407 8786 10696 10814 15263 17572 21628 30526 30751 35144 37849 43256 61052 61502 75698 106841 122104 123004 124361 151396 213682 246008 248722 302792 351049 427364 497444 702098 854728 870527 994888 1032737 1404196 1741054 2065474 2457343 2808392 2915233 3482108 4130948 4914686 5830466 6964216 7229159 8261896 9829372 11660932 14458318 19658744 20406631 23321864 23752951 28916636 40813262 47505902 57833272 67050359 81626524 82527041 95011804 134100718 163253048 165054082 166270657 190023608 268201436 330108164 332541314 469352513 536402872 577689287 660216328 665082628 938705026 1155378574 1330165256 1877410052 1898121943 2310757148 3754820104 3796243886 4621514296 7592487772 13286853601 15184975544 15762664831 26573707202 31525329662 53147414404 63050659324 106294828808 110338653817 126101318648 220677307634 362541291113 441354615268 725082582226 882709230536 1450165164452 2537789037791 2900330328904 5075578075582 10151156151164 20302312302328