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22101121116 = 223217711912663
BaseRepresentation
bin10100100101010101…
…000101100001011100
32010001021011021120100
4110211111011201130
5330230341333431
614053023421100
71411454300304
oct244525054134
963037137510
1022101121116
119411563458
124349754790
132112a98b79
1410d9384604
158954554e6
hex52554585c

22101121116 has 144 divisors (see below), whose sum is σ = 60322848768. Its totient is φ = 6797683200.

The previous prime is 22101121087. The next prime is 22101121117. The reversal of 22101121116 is 61112110122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101121117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8298001 + ... + 8300663.

It is an arithmetic number, because the mean of its divisors is an integer number (418908672).

Almost surely, 222101121116 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 22101121116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30161424384).

22101121116 is an abundant number, since it is smaller than the sum of its proper divisors (38221727652).

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

22101121116 is a wasteful number, since it uses less digits than its factorization.

22101121116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 22101121116 its reverse (61112110122), we get a palindrome (83213231238).

The spelling of 22101121116 in words is "twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 191 204 213 284 306 382 426 573 612 639 764 852 1146 1207 1278 1719 2292 2414 2556 2663 3247 3438 3621 4828 5326 6494 6876 7242 7989 9741 10652 10863 12988 13561 14484 15978 19482 21726 23967 27122 29223 31956 38964 40683 43452 45271 47934 54244 58446 81366 90542 95868 116892 122049 135813 162732 181084 189073 230537 244098 271626 378146 407439 461074 488196 508633 543252 567219 691611 756292 814878 922148 1017266 1134438 1383222 1525899 1629756 1701657 2034532 2074833 2268876 2766444 3051798 3214241 3403314 4149666 4577697 6103596 6428482 6806628 8299332 8646761 9155394 9642723 12856964 17293522 18310788 19285446 25940283 28928169 34587044 36112943 38570892 51880566 57856338 72225886 77820849 103761132 108338829 115712676 144451772 155641698 216677658 311283396 325016487 433355316 613920031 650032974 1227840062 1300065948 1841760093 2455680124 3683520186 5525280279 7367040372 11050560558 22101121116