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42122102220330 = 23511238111684217
BaseRepresentation
bin10011001001111010100001…
…11100001010011000101010
312112010211111201122022221020
421210331100330022120222
521010112031132022310
6225330343203353310
711605135650226326
oct1144752074123052
9175124451568836
1042122102220330
111246a979645250
124883666982836
131a67135700842
14a58a13578986
154d0a5c505170
hex264f50f0a62a

42122102220330 has 128 divisors (see below), whose sum is σ = 115092605362176. Its totient is φ = 9766225497600.

The previous prime is 42122102220271. The next prime is 42122102220337. The reversal of 42122102220330 is 3302220122124.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42122102220330.

It is not an unprimeable number, because it can be changed into a prime (42122102220337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61220382 + ... + 61904598.

It is an arithmetic number, because the mean of its divisors is an integer number (899160979392).

Almost surely, 242122102220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122102220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57546302681088).

42122102220330 is an abundant number, since it is smaller than the sum of its proper divisors (72970503141846).

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

42122102220330 is a wasteful number, since it uses less digits than its factorization.

42122102220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692372.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42122102220330 its reverse (3302220122124), we get a palindrome (45424322342454).

The spelling of 42122102220330 in words is "forty-two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 8111 16222 24333 40555 48666 81110 89221 121665 178442 186553 243330 267663 373106 446105 535326 559659 684217 892210 932765 1119318 1338315 1368434 1865530 2052083 2052651 2676630 2798295 3421085 4104166 4105302 5596590 6156249 6842170 7526387 10260415 10263255 12312498 15052774 15736991 20520830 20526510 22579161 30781245 31473982 37631935 45158322 47210973 61562490 75263870 78684955 94421946 112895805 157369910 173106901 225791610 236054865 346213802 472109730 519320703 865534505 1038641406 1731069010 2596603515 5193207030 5549684087 11099368174 16649052261 27748420435 33298104522 55496840870 61046524957 83245261305 122093049914 127642734001 166490522610 183139574871 255285468002 305232624785 366279149742 382928202003 610465249570 638213670005 765856404006 915697874355 1276427340010 1404070074011 1831395748710 1914641010015 2808140148022 3829282020030 4212210222033 7020350370055 8424420444066 14040700740110 21061051110165 42122102220330