Search a number
-
+
22102213223130 = 23523593239322573
BaseRepresentation
bin1010000011010000100101…
…00100010110001011011010
32220020221200020112002020120
411001220102210112023122
510344110313041120010
6115001341103134110
74440555306420015
oct501502244261332
986227606462216
1022102213223130
117051550185247
12258b6825a4336
13c442caa38b11
14565a77a8c37c
15284de152ce70
hex141a129162da

22102213223130 has 128 divisors (see below), whose sum is σ = 55470598267392. Its totient is φ = 5625557803008.

The previous prime is 22102213223119. The next prime is 22102213223141. The reversal of 22102213223130 is 3132231220122.

It is an interprime number because it is at equal distance from previous prime (22102213223119) and next prime (22102213223141).

It is a self number, because there is not a number n which added to its sum of digits gives 22102213223130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979132524 + ... + 979155096.

It is an arithmetic number, because the mean of its divisors is an integer number (433364048964).

Almost surely, 222102213223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102213223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27735299133696).

22102213223130 is an abundant number, since it is smaller than the sum of its proper divisors (33368385044262).

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

22102213223130 is a wasteful number, since it uses less digits than its factorization.

22102213223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25592.

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

Adding to 22102213223130 its reverse (3132231220122), we get a palindrome (25234444443252).

The spelling of 22102213223130 in words is "twenty-two trillion, one hundred two billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 593 690 1186 1779 2393 2965 3558 4786 5930 7179 8895 11965 13639 14358 17790 22573 23930 27278 35895 40917 45146 55039 67719 68195 71790 81834 110078 112865 135438 136390 165117 204585 225730 275195 330234 338595 409170 519179 550390 677190 825585 1038358 1419049 1557537 1651170 2595895 2838098 3115074 4257147 5191790 7095245 7787685 8514294 13385789 14190490 15575370 21285735 26771578 32638127 40157367 42571470 54017189 65276254 66928945 80314734 97914381 108034378 133857890 162051567 163190635 195828762 200786835 270085945 307873147 324103134 326381270 401573670 489571905 540171890 615746294 810257835 923619441 979143810 1242395347 1539365735 1620515670 1847238882 2484790694 3078731470 3727186041 4618097205 6211976735 7454372082 9236194410 12423953470 18635930205 32032193077 37271860410 64064386154 96096579231 160160965385 192193158462 320321930770 480482896155 736740440771 960965792310 1473480881542 2210221322313 3683702203855 4420442644626 7367404407710 11051106611565 22102213223130