Search a number
-
+
22202001112122 = 2341331543162617
BaseRepresentation
bin1010000110001010011100…
…11000111011110000111010
32220121111020122001001220000
411003011032120323300322
510402224144241041442
6115115243012013430
74451020166450046
oct503051630736072
986544218031800
1022202001112122
11708a8a7906197
1225a6a91301276
13c50841610890
1456a822897026
152877d1d19d4c
hex14314e63bc3a

22202001112122 has 160 divisors (see below), whose sum is σ = 55315086081024. Its totient is φ = 6609694867200.

The previous prime is 22202001112121. The next prime is 22202001112141. The reversal of 22202001112122 is 22121110020222.

It is a happy number.

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 = 22202001112095 and 22202001112104.

It is not an unprimeable number, because it can be changed into a prime (22202001112121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 354536958 + ... + 354599574.

Almost surely, 222202001112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202001112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27657543040512).

22202001112122 is an abundant number, since it is smaller than the sum of its proper divisors (33113084968902).

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

22202001112122 is a wasteful number, since it uses less digits than its factorization.

22202001112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68106 (or 68097 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22202001112122 its reverse (22121110020222), we get a palindrome (44323111132344).

The spelling of 22202001112122 in words is "twenty-two trillion, two hundred two billion, one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 1053 1209 1674 2106 2418 2511 3627 5022 5431 7254 10862 10881 16293 21762 32586 32643 48879 62617 65286 70603 97758 125234 141206 146637 168361 187851 211809 293274 336722 375702 423618 439911 505083 563553 635427 814021 879822 1010166 1127106 1270854 1515249 1628042 1690659 1906281 1941127 2188693 2442063 3030498 3381318 3812562 3882254 4377386 4545747 4884126 5071977 5718843 5823381 6566079 7326189 9091494 10143954 11437686 11646762 13132158 13637241 14652378 17470143 19698237 21978567 25234651 27274482 34940286 39396474 43957134 50469302 52410429 59094711 65935701 75703953 104820858 118189422 131871402 151407906 157231287 177284133 227111859 314462574 340072927 354568266 454223718 680145854 681335577 1020218781 1362671154 2040437562 2044006731 3060656343 4088013462 4420948051 6121312686 8841896102 9181969029 10542260737 13262844153 18363938058 21084521474 26525688306 27545907087 31626782211 39788532459 55091814174 63253564422 79577064918 94880346633 119365597377 137049389581 189760693266 238731194754 274098779162 284641039899 358096792131 411148168743 569282079798 716193584262 822296337486 853923119697 1233444506229 1707846239394 2466889012458 3700333518687 7400667037374 11101000556061 22202001112122