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20430303012 = 223272327113007
BaseRepresentation
bin10011000001101111…
…011010111100100100
31221201211012221000100
4103001233122330210
5313320124144022
613215140144100
71322165465430
oct230157327444
957654187010
1020430303012
118734412049
123b62098030
131c078990c2
14dbb4d79c0
157e89181ac
hex4c1bdaf24

20430303012 has 144 divisors (see below), whose sum is σ = 61819011072. Its totient is φ = 5562406080.

The previous prime is 20430303011. The next prime is 20430303029. The reversal of 20430303012 is 21030303402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20430303011) 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, 1564213 + ... + 1577219.

It is an arithmetic number, because the mean of its divisors is an integer number (429298688).

Almost surely, 220430303012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30909505536).

20430303012 is an abundant number, since it is smaller than the sum of its proper divisors (41388708060).

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

20430303012 is a wasteful number, since it uses less digits than its factorization.

20430303012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20430303012 its reverse (21030303402), we get a palindrome (41460606414).

The spelling of 20430303012 in words is "twenty billion, four hundred thirty million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 271 276 322 414 483 542 644 813 828 966 1084 1449 1626 1897 1932 2439 2898 3252 3794 4878 5691 5796 6233 7588 9756 11382 12466 13007 17073 18699 22764 24932 26014 34146 37398 39021 43631 52028 56097 68292 74796 78042 87262 91049 112194 117063 130893 156084 174524 182098 224388 234126 261786 273147 299161 364196 392679 468252 523572 546294 598322 785358 819441 897483 1092588 1196644 1570716 1638882 1794966 2094127 2692449 3277764 3524897 3589932 4188254 5384898 6282381 7049794 8376508 10574691 10769796 12564762 14099588 18847143 21149382 24674279 25129524 31724073 37694286 42298764 49348558 63448146 74022837 75388572 81072631 98697116 126896292 148045674 162145262 222068511 243217893 296091348 324290524 444137022 486435786 567508417 729653679 888274044 972871572 1135016834 1459307358 1702525251 2270033668 2918614716 3405050502 5107575753 6810101004 10215151506 20430303012