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20021412216 = 23313677871217
BaseRepresentation
bin10010101001010111…
…101000000101111000
31220200022211010021210
4102221113220011320
5312000440142331
613110412203120
71306102124121
oct225127500570
956608733253
1020021412216
118544624373
123a691694a0
131b70c63aa0
14d7d09b048
157c2a9a446
hex4a95e8178

20021412216 has 128 divisors (see below), whose sum is σ = 54822862080. Its totient is φ = 6055796736.

The previous prime is 20021412179. The next prime is 20021412221. The reversal of 20021412216 is 61221412002.

It is a junction number, because it is equal to n+sod(n) for n = 20021412192 and 20021412201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16450840 + ... + 16452056.

It is an arithmetic number, because the mean of its divisors is an integer number (428303610).

Almost surely, 220021412216 is an apocalyptic number.

20021412216 is a gapful number since it is divisible by the number (26) 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 20021412216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27411431040).

20021412216 is an abundant number, since it is smaller than the sum of its proper divisors (34801449864).

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

20021412216 is a wasteful number, since it uses less digits than its factorization.

20021412216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20021412216 its reverse (61221412002), we get a palindrome (81242824218).

The spelling of 20021412216 in words is "twenty billion, twenty-one million, four hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 787 804 871 1217 1574 1608 1742 2361 2434 2613 3148 3484 3651 4722 4868 5226 6296 6968 7302 9444 9736 10231 10452 14604 15821 18888 20462 20904 29208 30693 31642 40924 47463 52729 61386 63284 81539 81848 94926 105458 122772 126568 158187 163078 189852 210916 244617 245544 316374 326156 379704 421832 489234 632748 652312 685477 957779 978468 1060007 1265496 1370954 1915558 1956936 2056431 2120014 2741908 2873337 3180021 3831116 4112862 4240028 5483816 5746674 6360042 7662232 8225724 8480056 11493348 12451127 12720084 16451448 22986696 24902254 25440168 37353381 49804508 64171193 74706762 99609016 128342386 149413524 192513579 256684772 298827048 385027158 513369544 770054316 834225509 1540108632 1668451018 2502676527 3336902036 5005353054 6673804072 10010706108 20021412216