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2122122323130 = 2351747731212773
BaseRepresentation
bin11110111000011000010…
…110001110010010111010
321111212120100112122110220
4132320120112032102322
5234232101303320010
64302520050120510
7306214112060325
oct36703026162272
97455510478426
102122122323130
11748a94800767
122a3346580136
13125166354234
14749d5a137bc
153a304459970
hex1ee1858e4ba

2122122323130 has 128 divisors (see below), whose sum is σ = 5582874129408. Its totient is φ = 514137710592.

The previous prime is 2122122323129. The next prime is 2122122323137. The reversal of 2122122323130 is 313232212212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122122323130.

It is not an unprimeable number, because it can be changed into a prime (2122122323137) 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, 1143424 + ... + 2356196.

It is an arithmetic number, because the mean of its divisors is an integer number (43616204136).

Almost surely, 22122122323130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122122323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791437064704).

2122122323130 is an abundant number, since it is smaller than the sum of its proper divisors (3460751806278).

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

2122122323130 is a wasteful number, since it uses less digits than its factorization.

2122122323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212920.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2122122323130 its reverse (313232212212), we get a palindrome (2435354535342).

The spelling of 2122122323130 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 73 85 94 102 141 146 170 219 235 255 282 365 438 470 510 705 730 799 1095 1241 1410 1598 2190 2397 2482 3431 3723 3995 4794 6205 6862 7446 7990 10293 11985 12410 17155 18615 20586 23970 34310 37230 51465 58327 102930 116654 174981 291635 349962 583270 874905 1212773 1749810 2425546 3638319 6063865 7276638 12127730 18191595 20617141 36383190 41234282 57000331 61851423 88532429 103085705 114000662 123702846 171000993 177064858 206171410 265597287 285001655 309257115 342001986 442662145 531194574 570003310 618514230 855004965 885324290 969005627 1327986435 1505051293 1710009930 1938011254 2655972870 2907016881 3010102586 4161024163 4515153879 4845028135 5814033762 7525256465 8322048326 9030307758 9690056270 12483072489 14535084405 15050512930 20805120815 22575769395 24966144978 29070168810 41610241630 45151538790 62415362445 70737410771 124830724890 141474821542 212212232313 353687053855 424424464626 707374107710 1061061161565 2122122323130