Search a number
-
+
10242251103320 = 235419799164969
BaseRepresentation
bin1001010100001011010110…
…1111010001110001011000
31100021011001002102101001022
42111002311233101301120
52320302112240301240
633441120350542012
72104656346632455
oct225026557216130
940234032371038
1010242251103320
113299794807525
121195025207908
13593abca11c42
14275a2875c82c
1512b6578129b5
hex950b5bd1c58

10242251103320 has 128 divisors (see below), whose sum is σ = 23874946905600. Its totient is φ = 3951717580800.

The previous prime is 10242251103193. The next prime is 10242251103401. The reversal of 10242251103320 is 2330115224201.

It is a self number, because there is not a number n which added to its sum of digits gives 10242251103320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157615796 + ... + 157680764.

It is an arithmetic number, because the mean of its divisors is an integer number (186523022700).

Almost surely, 210242251103320 is an apocalyptic number.

10242251103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242251103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937473452800).

10242251103320 is an abundant number, since it is smaller than the sum of its proper divisors (13632695802280).

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

10242251103320 is a wasteful number, since it uses less digits than its factorization.

10242251103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66109 (or 66105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10242251103320 its reverse (2330115224201), we get a palindrome (12572366327521).

The spelling of 10242251103320 in words is "ten trillion, two hundred forty-two billion, two hundred fifty-one million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 97 164 194 205 328 388 410 485 776 820 970 991 1640 1940 1982 3880 3964 3977 4955 7928 7954 9910 15908 19820 19885 31816 39640 39770 40631 64969 79540 81262 96127 129938 159080 162524 192254 203155 259876 324845 325048 384508 406310 480635 519752 649690 769016 812620 961270 1299380 1625240 1922540 2598760 2663729 3845080 3941207 5327458 6301993 7882414 10654916 12603986 13318645 15764828 19706035 21309832 25207972 26637290 31509965 31529656 39412070 50415944 53274580 63019930 64384279 78824140 106549160 126039860 128768558 157648280 252079720 257537116 258381713 321921395 515074232 516763426 643842790 1033526852 1287685580 1291908565 2067053704 2575371160 2583817130 2639755439 5167634260 5279510878 6245275063 10335268520 10559021756 12490550126 13198777195 21118043512 24981100252 26397554390 31226375315 49962200504 52795108780 62452750630 105590217560 124905501260 249811002520 256056277583 512112555166 1024225110332 1280281387915 2048450220664 2560562775830 5121125551660 10242251103320