Search a number
-
+
1123123002200 = 235261721374259
BaseRepresentation
bin10000010101111111010…
…110001111101101011000
310222100222101001222121122
4100111333112033231120
5121400123442032300
62215542223424412
7144100015001063
oct20257726175530
93870871058548
101123123002200
113a334a722871
12161803755108
1381baa4a29b4
143c5064538da
151e3359aac85
hex1057f58fb58

1123123002200 has 96 divisors (see below), whose sum is σ = 2617331475600. Its totient is φ = 448205936640.

The previous prime is 1123123002193. The next prime is 1123123002203. The reversal of 1123123002200 is 22003213211.

It is a super-2 number, since 2×11231230022002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123123002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263703671 + ... + 263707929.

Almost surely, 21123123002200 is an apocalyptic number.

1123123002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123123002200 is an abundant number, since it is smaller than the sum of its proper divisors (1494208473400).

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

1123123002200 is a wasteful number, since it uses less digits than its factorization.

1123123002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1123123002200 its reverse (22003213211), we get a palindrome (1145126215411).

The spelling of 1123123002200 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-three million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 617 1234 2137 2468 3085 4259 4274 4936 6170 8518 8548 10685 12340 15425 17036 17096 21295 21370 24680 30850 34072 42590 42740 53425 61700 85180 85480 106475 106850 123400 170360 212950 213700 425900 427400 851800 1318529 2627803 2637058 5255606 5274116 6592645 9101483 10511212 10548232 13139015 13185290 18202966 21022424 26278030 26370580 32963225 36405932 45507415 52556060 52741160 65695075 65926450 72811864 91014830 105112120 131390150 131852900 182029660 227537075 262780300 263705800 364059320 455074150 525560600 910148300 1820296600 5615615011 11231230022 22462460044 28078075055 44924920088 56156150110 112312300220 140390375275 224624600440 280780750550 561561501100 1123123002200