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1103221113200 = 245217396740897
BaseRepresentation
bin10000000011011101000…
…110100100000101110000
310220110121101011021100122
4100003131012210011300
5121033344101110300
62202451321105412
7142463563511063
oct20033506440560
93813541137318
101103221113200
11395967615018
1215998a628268
1380058229b0b
143b5791ca8da
151da6d66ec85
hex100dd1a4170

1103221113200 has 120 divisors (see below), whose sum is σ = 2807175900672. Its totient is φ = 415215452160.

The previous prime is 1103221113167. The next prime is 1103221113229. The reversal of 1103221113200 is 23111223011.

It is a super-2 number, since 2×11032211132002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 26955152 + ... + 26996048.

Almost surely, 21103221113200 is an apocalyptic number.

1103221113200 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 1103221113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403587950336).

1103221113200 is an abundant number, since it is smaller than the sum of its proper divisors (1703954787472).

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

1103221113200 is a wasteful number, since it uses less digits than its factorization.

1103221113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44899 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1103221113200 its reverse (23111223011), we get a palindrome (1126332336211).

The spelling of 1103221113200 in words is "one trillion, one hundred three billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 3967 6800 7934 15868 19835 31736 39670 40897 63472 67439 79340 81794 99175 134878 158680 163588 198350 204485 269756 317360 327176 337195 396700 408970 539512 654352 674390 695249 793400 817940 1022425 1079024 1348780 1390498 1586800 1635880 1685975 2044850 2697560 2780996 3271760 3371950 3476245 4089700 5395120 5561992 6743900 6952490 8179400 11123984 13487800 13904980 16358800 17381225 26975600 27809960 34762450 55619920 69524900 139049800 162238399 278099600 324476798 648953596 811191995 1297907192 1622383990 2595814384 2758052783 3244767980 4055959975 5516105566 6489535960 8111919950 11032211132 12979071920 13790263915 16223839900 22064422264 27580527830 32447679800 44128844528 55161055660 64895359600 68951319575 110322111320 137902639150 220644222640 275805278300 551610556600 1103221113200