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20300312424 = 2337197878081
BaseRepresentation
bin10010111001111111…
…100010111101101000
31221101202121201110010
4102321333202331220
5313033334444144
613154214051520
71316026544220
oct227177427550
957352551403
1020300312424
118677aa7207
123b26649ba0
131bb69849b2
14da813b080
157dc2dc5b9
hex4b9fe2f68

20300312424 has 128 divisors (see below), whose sum is σ = 61138713600. Its totient is φ = 5487160320.

The previous prime is 20300312423. The next prime is 20300312437. The reversal of 20300312424 is 42421300302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20300312424.

It is not an unprimeable number, because it can be changed into a prime (20300312423) 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, 2508064 + ... + 2516144.

It is an arithmetic number, because the mean of its divisors is an integer number (477646200).

Almost surely, 220300312424 is an apocalyptic number.

20300312424 is a gapful number since it is divisible by the number (24) 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 20300312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569356800).

20300312424 is an abundant number, since it is smaller than the sum of its proper divisors (40838401176).

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

20300312424 is a wasteful number, since it uses less digits than its factorization.

20300312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20300312424 its reverse (42421300302), we get a palindrome (62721612726).

The spelling of 20300312424 in words is "twenty billion, three hundred million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 787 798 1064 1574 1596 2361 3148 3192 4722 5509 6296 8081 9444 11018 14953 16162 16527 18888 22036 24243 29906 32324 33054 44072 44859 48486 56567 59812 64648 66108 89718 96972 104671 113134 119624 132216 153539 169701 179436 193944 209342 226268 307078 314013 339402 358872 418684 452536 460617 614156 628026 678804 837368 921234 1074773 1228312 1256052 1357608 1842468 2149546 2512104 3224319 3684936 4299092 6359747 6448638 8598184 12719494 12897276 19079241 25438988 25794552 38158482 44518229 50877976 76316964 89036458 120835193 133554687 152633928 178072916 241670386 267109374 356145832 362505579 483340772 534218748 725011158 845846351 966681544 1068437496 1450022316 1691692702 2537539053 2900044632 3383385404 5075078106 6766770808 10150156212 20300312424