Search a number
-
+
123222203321130 = 23353767318327719
BaseRepresentation
bin11100000001000111100111…
…101010000100101100101010
3121011021221001012210120112000
4130001013213222010230222
5112122333033022234010
61114023255420431430
734645340032413024
oct3401074752045452
9534257035716460
10123222203321130
1136298274418961
12119a13566a8576
13539aa5b278884
14225ddb4bd3014
15e3a45b7107c0
hex7011e7a84b2a

123222203321130 has 128 divisors (see below), whose sum is σ = 337974886540800. Its totient is φ = 31923659077632.

The previous prime is 123222203321117. The next prime is 123222203321141. The reversal of 123222203321130 is 31123302222321.

123222203321130 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 2 + 203 + 321 + 130 = 666.

It is a super-2 number, since 2×1232222033211302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123222203321094 and 123222203321103.

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, 2440590 + ... + 15887129.

It is an arithmetic number, because the mean of its divisors is an integer number (2640428801100).

Almost surely, 2123222203321130 is an apocalyptic number.

123222203321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123222203321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168987443270400).

123222203321130 is an abundant number, since it is smaller than the sum of its proper divisors (214752683219670).

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

123222203321130 is a wasteful number, since it uses less digits than its factorization.

123222203321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328445 (or 18328439 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123222203321130 its reverse (31123302222321), we get a palindrome (154345505543451).

The spelling of 123222203321130 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, two hundred three million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 673 999 1110 1346 1665 1998 2019 3330 3365 4038 4995 6057 6730 9990 10095 12114 18171 20190 24901 30285 36342 49802 60570 74703 90855 124505 149406 181710 224109 249010 373515 448218 672327 747030 1120545 1344654 2241090 3361635 6723270 18327719 36655438 54983157 91638595 109966314 164949471 183277190 274915785 329898942 494848413 549831570 678125603 824747355 989696826 1356251206 1649494710 2034376809 2474242065 3390628015 4068753618 4948484130 6103130427 6781256030 10171884045 12206260854 12334554887 18309391281 20343768090 24669109774 30515652135 36618782562 37003664661 61031304270 61672774435 74007329322 91546956405 111010993983 123345548870 183093912810 185018323305 222021987966 333032981949 370036646610 456378530819 555054969915 666065963898 912757061638 1110109939830 1369135592457 1665164909745 2281892654095 2738271184914 3330329819490 4107406777371 4563785308190 6845677962285 8214813554742 12322220332113 13691355924570 20537033886855 24644440664226 41074067773710 61611101660565 123222203321130