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22016263500132 = 2231110114331152397
BaseRepresentation
bin1010000000110000011111…
…00100001011000101100100
32212221201211020221202122120
411000120033210023011210
510341203301424001012
6114454044250225540
74431423351010146
oct500301744130544
985851736852576
1022016263500132
117019054868220
122576a961252b0
13c3918108c765
14561842a70c96
15282a60a5858c
hex14060f90b164

22016263500132 has 96 divisors (see below), whose sum is σ = 56635807423104. Its totient is φ = 6600924288000.

The previous prime is 22016263500103. The next prime is 22016263500169. The reversal of 22016263500132 is 23100536261022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22016263500093 and 22016263500102.

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 31 ways as a sum of consecutive naturals, for example, 18528558 + ... + 19680954.

It is an arithmetic number, because the mean of its divisors is an integer number (589956327324).

Almost surely, 222016263500132 is an apocalyptic number.

22016263500132 is a gapful number since it is divisible by the number (22) 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 22016263500132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28317903711552).

22016263500132 is an abundant number, since it is smaller than the sum of its proper divisors (34619543922972).

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

22016263500132 is a wasteful number, since it uses less digits than its factorization.

22016263500132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153949 (or 1153947 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 22016263500132 its reverse (23100536261022), we get a palindrome (45116799761154).

The spelling of 22016263500132 in words is "twenty-two trillion, sixteen billion, two hundred sixty-three million, five hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1433 2222 2866 3333 4299 4444 5732 6666 8598 13332 15763 17196 31526 47289 63052 94578 144733 189156 289466 434199 578932 868398 1152397 1592063 1736796 2304794 3184126 3457191 4609588 4776189 6368252 6914382 9552378 12676367 13828764 19104756 25352734 38029101 50705468 76058202 116392097 152116404 232784194 349176291 465568388 698352582 1280313067 1396705164 1651384901 2560626134 3302769802 3840939201 4954154703 5121252268 6605539604 7681878402 9908309406 15363756804 18165233911 19816618812 36330467822 54495701733 72660935644 108991403466 166789875001 217982806932 333579750002 500369625003 667159500004 1000739250006 1834688625011 2001478500012 3669377250022 5504065875033 7338754500044 11008131750066 22016263500132