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1123123032200 = 2352131249345853
BaseRepresentation
bin10000010101111111010…
…110010111000010001000
310222100222101010111202202
4100111333112113002020
5121400123444012300
62215542224215332
7144100015154411
oct20257726270210
93870871114682
101123123032200
113a334a743364
1216180376a548
1381baa4b3550
143c506460808
151e3359b4ad5
hex1057f597088

1123123032200 has 96 divisors (see below), whose sum is σ = 2814386925000. Its totient is φ = 414358364160.

The previous prime is 1123123032173. The next prime is 1123123032271. The reversal of 1123123032200 is 22303213211.

It can be written as a sum of positive squares in 12 ways, for example, as 18534644164 + 1104588388036 = 136142^2 + 1050994^2 .

It is a super-2 number, since 2×11231230322002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3074474 + ... + 3420326.

Almost surely, 21123123032200 is an apocalyptic number.

1123123032200 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 1123123032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407193462500).

1123123032200 is an abundant number, since it is smaller than the sum of its proper divisors (1691263892800).

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

1123123032200 is a wasteful number, since it uses less digits than its factorization.

1123123032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347131 (or 347122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1123123032200 its reverse (22303213211), we get a palindrome (1145426245411).

The spelling of 1123123032200 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-three million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1249 1300 2498 2600 4996 6245 9992 12490 16237 24980 31225 32474 49960 62450 64948 81185 124900 129896 162370 249800 324740 345853 405925 649480 691706 811850 1383412 1623700 1729265 2766824 3247400 3458530 4496089 6917060 8646325 8992178 13834120 17292650 17984356 22480445 34585300 35968712 44960890 69170600 89921780 112402225 179843560 224804450 431970397 449608900 863940794 899217800 1727881588 2159851985 3455763176 4319703970 5615615161 8639407940 10799259925 11231230322 17278815880 21598519850 22462460644 28078075805 43197039700 44924921288 56156151610 86394079400 112312303220 140390379025 224624606440 280780758050 561561516100 1123123032200