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1333230320200 = 2352101197335033
BaseRepresentation
bin10011011001101010101…
…110000011101001001000
311201110022010001121212011
4103121222232003221020
5133320423430221300
62500251052425304
7165215455511362
oct23315256035110
94643263047764
101333230320200
11474468838639
12196480178234
13989527b59bc
1448758a31d32
1524a3143aeba
hex1366ab83a48

1333230320200 has 96 divisors (see below), whose sum is σ = 3146351198760. Its totient is φ = 525330176000.

The previous prime is 1333230320159. The next prime is 1333230320221. The reversal of 1333230320200 is 20230323331.

It can be written as a sum of positive squares in 12 ways, for example, as 706241905924 + 626988414276 = 840382^2 + 791826^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811884 + ... + 4146916.

Almost surely, 21333230320200 is an apocalyptic number.

1333230320200 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 1333230320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573175599380).

1333230320200 is an abundant number, since it is smaller than the sum of its proper divisors (1813120878560).

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

1333230320200 is a wasteful number, since it uses less digits than its factorization.

1333230320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335347 (or 335338 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 1333230320200 its reverse (20230323331), we get a palindrome (1353460643531).

The spelling of 1333230320200 in words is "one trillion, three hundred thirty-three billion, two hundred thirty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 197 200 202 394 404 505 788 808 985 1010 1576 1970 2020 2525 3940 4040 4925 5050 7880 9850 10100 19700 19897 20200 39400 39794 79588 99485 159176 198970 335033 397940 497425 670066 795880 994850 1340132 1675165 1989700 2680264 3350330 3979400 6700660 8375825 13401320 16751650 33503300 33838333 66001501 67006600 67676666 132003002 135353332 169191665 264006004 270706664 330007505 338383330 528012008 660015010 676766660 845958325 1320030020 1353533320 1650037525 1691916650 2640060040 3300075050 3383833300 6600150100 6666151601 6767666600 13200300200 13332303202 26664606404 33330758005 53329212808 66661516010 133323032020 166653790025 266646064040 333307580050 666615160100 1333230320200