Search a number
-
+
1332310120200 = 233252740172289
BaseRepresentation
bin10011011000110011110…
…111110001011100001000
311201100220222112121202200
4103120303313301130020
5133312032342321300
62500015501400200
7165153613111503
oct23306367613410
94640828477680
101332310120200
11474036369774
12196263b69060
1398836c68b67
14486ac73813a
15249ca76e200
hex13633df1708

1332310120200 has 72 divisors (see below), whose sum is σ = 4474341493050. Its totient is φ = 355282698240.

The previous prime is 1332310120157. The next prime is 1332310120217. The reversal of 1332310120200 is 20210132331.

1332310120200 is a `hidden beast` number, since 1 + 3 + 32 + 310 + 120 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 773664494724 + 558645625476 = 879582^2 + 747426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 370084345 + ... + 370087944.

Almost surely, 21332310120200 is an apocalyptic number.

1332310120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332310120200 is an abundant number, since it is smaller than the sum of its proper divisors (3142031372850).

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

1332310120200 is a wasteful number, since it uses less digits than its factorization.

1332310120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740172311 (or 740172299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332310120200 its reverse (20210132331), we get a palindrome (1352520252531).

The spelling of 1332310120200 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 740172289 1480344578 2220516867 2960689156 3700861445 4441033734 5921378312 6661550601 7401722890 8882067468 11102584335 13323101202 14803445780 17764134936 18504307225 22205168670 26646202404 29606891560 33307753005 37008614450 44410337340 53292404808 55512921675 66615506010 74017228900 88820674680 111025843350 133231012020 148034457800 166538765025 222051686700 266462024040 333077530050 444103373400 666155060100 1332310120200