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1112022120200 = 2352109349146161
BaseRepresentation
bin10000001011101001101…
…011101111011100001000
310221022022201210202021212
4100023221223233130020
5121204410130321300
62210504513152252
7143224642030445
oct20135153573410
93838281722255
101112022120200
11399673550922
1215b625b5b688
1380b2b6b6274
143bb720029cc
151ddd6140935
hex102e9aef708

1112022120200 has 96 divisors (see below), whose sum is σ = 2616665205000. Its totient is φ = 439462195200.

The previous prime is 1112022120199. The next prime is 1112022120211. The reversal of 1112022120200 is 20212202111.

It can be written as a sum of positive squares in 12 ways, for example, as 356454373444 + 755567746756 = 597038^2 + 869234^2 .

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, 7535120 + ... + 7681280.

Almost surely, 21112022120200 is an apocalyptic number.

1112022120200 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 1112022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308332602500).

1112022120200 is an abundant number, since it is smaller than the sum of its proper divisors (1504643084800).

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

1112022120200 is a wasteful number, since it uses less digits than its factorization.

1112022120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146635 (or 146626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1112022120200 its reverse (20212202111), we get a palindrome (1132234322311).

The spelling of 1112022120200 in words is "one trillion, one hundred twelve billion, twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 349 436 545 698 872 1090 1396 1745 2180 2725 2792 3490 4360 5450 6980 8725 10900 13960 17450 21800 34900 38041 69800 76082 146161 152164 190205 292322 304328 380410 584644 730805 760820 951025 1169288 1461610 1521640 1902050 2923220 3654025 3804100 5846440 7308050 7608200 14616100 15931549 29232200 31863098 51010189 63726196 79657745 102020378 127452392 159315490 204040756 255050945 318630980 398288725 408081512 510101890 637261960 796577450 1020203780 1275254725 1593154900 2040407560 2550509450 3186309800 5101018900 5560110601 10202037800 11120221202 22240442404 27800553005 44480884808 55601106010 111202212020 139002765025 222404424040 278005530050 556011060100 1112022120200