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1113201311200 = 255211238153129
BaseRepresentation
bin10000001100101111111…
…101111111110111100000
310221102100220122212020121
4100030233331333313200
5121214314013424300
62211221515250024
7143266111010206
oct20145775776740
93842326585217
101113201311200
1139a119134540
1215b8b4a49914
1380c88aa3014
143bc44877076
151de5491a81a
hex1032ff7fde0

1113201311200 has 144 divisors (see below), whose sum is σ = 2965958447760. Its totient is φ = 404622848000.

The previous prime is 1113201311179. The next prime is 1113201311231. The reversal of 1113201311200 is 21131023111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20926236 + ... + 20979364.

It is an arithmetic number, because the mean of its divisors is an integer number (20596933665).

Almost surely, 21113201311200 is an apocalyptic number.

1113201311200 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 1113201311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482979223880).

1113201311200 is an abundant number, since it is smaller than the sum of its proper divisors (1852757136560).

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

1113201311200 is a wasteful number, since it uses less digits than its factorization.

1113201311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55541 (or 55528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1113201311200 its reverse (21131023111), we get a palindrome (1134332334311).

The spelling of 1113201311200 in words is "one trillion, one hundred thirteen billion, two hundred one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 2381 4400 4762 8800 9524 11905 19048 23810 26191 38096 47620 52382 53129 59525 76192 95240 104764 106258 119050 130955 190480 209528 212516 238100 261910 265645 380960 419056 425032 476200 523820 531290 584419 654775 838112 850064 952400 1047640 1062580 1168838 1309550 1328225 1700128 1904800 2095280 2125160 2337676 2619100 2656450 2922095 4190560 4250320 4675352 5238200 5312900 5844190 8500640 9350704 10476400 10625800 11688380 14610475 18701408 20952800 21251600 23376760 29220950 42503200 46753520 58441900 93507040 116883800 126500149 233767600 253000298 467535200 506000596 632500745 1012001192 1265001490 1391501639 2024002384 2530002980 2783003278 3162503725 4048004768 5060005960 5566006556 6325007450 6957508195 10120011920 11132013112 12650014900 13915016390 20240023840 22264026224 25300029800 27830032780 34787540975 44528052448 50600059600 55660065560 69575081950 101200119200 111320131120 139150163900 222640262240 278300327800 556600655600 1113201311200