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201022211322 = 233314721112109
BaseRepresentation
bin1011101100110111011…
…0111000010011111010
3201012212120202101211000
42323031312320103322
511243143141230242
6232203123345430
720344342413642
oct2731566702372
9635776671730
10201022211322
1178286885749
1232b61b22276
1315c5803514a
149a2db71522
155368091a4c
hex2ecddb84fa

201022211322 has 128 divisors (see below), whose sum is σ = 473208422400. Its totient is φ = 63160171200.

The previous prime is 201022211309. The next prime is 201022211323. The reversal of 201022211322 is 223112220102.

201022211322 is a `hidden beast` number, since 20 + 102 + 221 + 1 + 322 = 666.

201022211322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 201022211295 and 201022211304.

It is not an unprimeable number, because it can be changed into a prime (201022211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16595004 + ... + 16607112.

It is an arithmetic number, because the mean of its divisors is an integer number (3696940800).

Almost surely, 2201022211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236604211200).

201022211322 is an abundant number, since it is smaller than the sum of its proper divisors (272186211078).

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

201022211322 is a wasteful number, since it uses less digits than its factorization.

201022211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12409 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201022211322 its reverse (223112220102), we get a palindrome (424134431424).

The spelling of 201022211322 in words is "two hundred one billion, twenty-two million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 211 279 282 422 423 558 633 837 846 1266 1269 1457 1674 1899 2538 2914 3798 4371 5697 6541 8742 9917 11394 12109 13082 13113 19623 19834 24218 26226 29751 36327 39246 39339 58869 59502 72654 78678 89253 108981 117738 176607 178506 217962 267759 307427 326943 353214 375379 535518 569123 614854 653886 750758 922281 1126137 1138246 1707369 1844562 2252274 2554999 2766843 3378411 3414738 5109998 5122107 5533686 6756822 7664997 8300529 10135233 10244214 15329994 15366321 16601058 17642813 20270466 22994991 30732642 35285626 45989982 52928439 68984973 79204969 105856878 120084953 137969946 158409938 158785317 237614907 240169906 317570634 360254859 475229814 476355951 712844721 720509718 952711902 1080764577 1425689442 2138534163 2161529154 3242293731 3722633543 4277068326 6484587462 7445267086 11167900629 22335801258 33503701887 67007403774 100511105661 201022211322