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20110101216 = 2535316672371
BaseRepresentation
bin10010101110101001…
…111100101011100000
31220220111200222201120
4102232221330223200
5312141141214331
613123301132240
71311230016462
oct225651745340
956814628646
1020110101216
11858a69a767
123a929ba080
131b8644709a
14d8ab86132
157ca768796
hex4aea7cae0

20110101216 has 96 divisors (see below), whose sum is σ = 53839997568. Its totient is φ = 6570170880.

The previous prime is 20110101199. The next prime is 20110101217. The reversal of 20110101216 is 61210101102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20110101195 and 20110101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110101217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8480511 + ... + 8482881.

It is an arithmetic number, because the mean of its divisors is an integer number (560833308).

Almost surely, 220110101216 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 20110101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26919998784).

20110101216 is an abundant number, since it is smaller than the sum of its proper divisors (33729896352).

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

20110101216 is a wasteful number, since it uses less digits than its factorization.

20110101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 20110101216 its reverse (61210101102), we get a palindrome (81320202318).

The spelling of 20110101216 in words is "twenty billion, one hundred ten million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1667 1696 2371 2544 3334 4742 5001 5088 6668 7113 9484 10002 13336 14226 18968 20004 26672 28452 37936 40008 53344 56904 75872 80016 88351 113808 125663 160032 176702 227616 251326 265053 353404 376989 502652 530106 706808 753978 1005304 1060212 1413616 1507956 2010608 2120424 2827232 3015912 3952457 4021216 4240848 6031824 7904914 8481696 11857371 12063648 15809828 23714742 31619656 47429484 63239312 94858968 126478624 189717936 209480221 379435872 418960442 628440663 837920884 1256881326 1675841768 2513762652 3351683536 5027525304 6703367072 10055050608 20110101216