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20001002400324 = 223211563605314821
BaseRepresentation
bin1001000110000110110001…
…01001001010101001000100
32121211002002020122201101200
410203003120221022221010
510110144023103302244
6110312200023022500
74133011325210541
oct443033051125104
977732066581350
1020001002400324
116411417480260
1222b03b329aa30
13b21117b8161a
144d20a7431bc8
1524a412d8d669
hex1230d8a4aa44

20001002400324 has 144 divisors (see below), whose sum is σ = 55265100980544. Its totient is φ = 6048736761600.

The previous prime is 20001002400319. The next prime is 20001002400341. The reversal of 20001002400324 is 42300420010002.

20001002400324 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 100 + 240 + 0 + 324 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20001002400297 and 20001002400306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349496834 + ... + 1349511654.

It is an arithmetic number, because the mean of its divisors is an integer number (383785423476).

Almost surely, 220001002400324 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 20001002400324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632550490272).

20001002400324 is an abundant number, since it is smaller than the sum of its proper divisors (35264098580220).

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

20001002400324 is a wasteful number, since it uses less digits than its factorization.

20001002400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20001002400324 its reverse (42300420010002), we get a palindrome (62301422410326).

The spelling of 20001002400324 in words is "twenty trillion, one billion, two million, four hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 563 1126 1689 2252 3378 5067 6053 6193 6756 10134 12106 12386 14821 18159 18579 20268 24212 24772 29642 36318 37158 44463 54477 55737 59284 66583 72636 74316 88926 108954 111474 133166 133389 163031 177852 199749 217908 222948 266332 266778 326062 399498 489093 533556 599247 652124 798996 978186 1198494 1467279 1956372 2396988 2934558 3407839 5869116 6815678 8344223 10223517 13631356 16688446 20447034 25032669 30670551 33376892 37486229 40894068 50065338 61341102 74972458 75098007 89711513 91786453 100130676 112458687 122682204 149944916 150196014 179423026 183572906 224917374 269134539 275359359 300392028 337376061 358846052 367145812 449834748 538269078 550718718 674752122 807403617 826078077 986826643 1076538156 1101437436 1349504244 1614807234 1652156154 1973653286 2960479929 3229614468 3304312308 3947306572 5920959858 8881439787 11841919716 17762879574 35525759148 50507581819 101015163638 151522745457 202030327276 303045490914 454568236371 555583400009 606090981828 909136472742 1111166800018 1666750200027 1818272945484 2222333600036 3333500400054 5000250600081 6667000800108 10000501200162 20001002400324