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1321304220200 = 235241169395177
BaseRepresentation
bin10011001110100011110…
…111100110001000101000
311200022111221222222020202
4103032203313212020220
5133122012340021300
62450555423011332
7164314102363466
oct23164367461050
94608457888222
101321304220200
1146a3a8871148
121940b2139b48
13977a1a56bb3
1447d46b6d836
1524584416ad5
hex133a3de6228

1321304220200 has 96 divisors (see below), whose sum is σ = 3148851819960. Its totient is φ = 515320934400.

The previous prime is 1321304220157. The next prime is 1321304220209. The reversal of 1321304220200 is 20224031231.

It can be written as a sum of positive squares in 12 ways, for example, as 3634401796 + 1317669818404 = 60286^2 + 1147898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1321304220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13835012 + ... + 13930188.

Almost surely, 21321304220200 is an apocalyptic number.

1321304220200 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 1321304220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574425909980).

1321304220200 is an abundant number, since it is smaller than the sum of its proper divisors (1827547599760).

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

1321304220200 is a wasteful number, since it uses less digits than its factorization.

1321304220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96927 (or 96918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1321304220200 its reverse (20224031231), we get a palindrome (1341528251431).

The spelling of 1321304220200 in words is "one trillion, three hundred twenty-one billion, three hundred four 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 1693 2050 3386 4100 6772 8200 8465 13544 16930 33860 42325 67720 69413 84650 95177 138826 169300 190354 277652 338600 347065 380708 475885 555304 694130 761416 951770 1388260 1735325 1903540 2379425 2776520 3470650 3807080 3902257 4758850 6941300 7804514 9517700 13882600 15609028 19035400 19511285 31218056 39022570 78045140 97556425 156090280 161134661 195112850 322269322 390225700 644538644 780451400 805673305 1289077288 1611346610 3222693220 4028366525 6445386440 6606521101 8056733050 13213042202 16113466100 26426084404 32226932200 33032605505 52852168808 66065211010 132130422020 165163027525 264260844040 330326055050 660652110100 1321304220200