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1200313220200 = 235241838917449
BaseRepresentation
bin10001011101111000001…
…111100011110001101000
311020202012220002100022121
4101131320033203301220
5124131220141021300
62315225530001024
7152501611013323
oct21357017436150
94222186070277
101200313220200
11423060580066
12174766576174
138925c463cc3
1442149d7d7ba
152135245b81a
hex117783e3c68

1200313220200 has 96 divisors (see below), whose sum is σ = 2859299415000. Its totient is φ = 468332236800.

The previous prime is 1200313220173. The next prime is 1200313220251. The reversal of 1200313220200 is 20223130021.

It can be written as a sum of positive squares in 12 ways, for example, as 306346752196 + 893966468004 = 553486^2 + 945498^2 .

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, 68781076 + ... + 68798524.

Almost surely, 21200313220200 is an apocalyptic number.

1200313220200 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 1200313220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429649707500).

1200313220200 is an abundant number, since it is smaller than the sum of its proper divisors (1658986194800).

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

1200313220200 is a wasteful number, since it uses less digits than its factorization.

1200313220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1200313220200 its reverse (20223130021), we get a palindrome (1220536350221).

The spelling of 1200313220200 in words is "one trillion, two hundred billion, three hundred thirteen million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 8389 16778 17449 33556 34898 41945 67112 69796 83890 87245 139592 167780 174490 209725 335560 343949 348980 419450 436225 687898 697960 715409 838900 872450 1375796 1430818 1677800 1719745 1744900 2751592 2861636 3439490 3489800 3577045 5723272 6878980 7154090 8598725 13757960 14308180 17197450 17885225 28616360 34394900 35770450 68789800 71540900 143081800 146379661 292759322 585518644 731898305 1171037288 1463796610 2927593220 3659491525 5855186440 6001566101 7318983050 12003132202 14637966100 24006264404 29275932200 30007830505 48012528808 60015661010 120031322020 150039152525 240062644040 300078305050 600156610100 1200313220200