Search a number
-
+
1330113301200 = 243352123158639
BaseRepresentation
bin10011010110110000111…
…011100100101011010000
311201011020212211122122000
4103112300323210223100
5133243033001114300
62455013504114000
7165045306341415
oct23266073445320
94634225748560
101330113301200
11473109312082
12195950305900
1398576aac368
1448540a8810c
15248ec97ec00
hex135b0ee4ad0

1330113301200 has 120 divisors (see below), whose sum is σ = 4734218121600. Its totient is φ = 354696877440.

The previous prime is 1330113301171. The next prime is 1330113301201. The reversal of 1330113301200 is 21033110331.

It is a happy number.

1330113301200 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 330 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330113301201) 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, 61568520 + ... + 61590119.

It is an arithmetic number, because the mean of its divisors is an integer number (39451817680).

Almost surely, 21330113301200 is an apocalyptic number.

1330113301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330113301200 is an abundant number, since it is smaller than the sum of its proper divisors (3404104820400).

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

1330113301200 is a wasteful number, since it uses less digits than its factorization.

1330113301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123158666 (or 123158649 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330113301200 its reverse (21033110331), we get a palindrome (1351146411531).

The spelling of 1330113301200 in words is "one trillion, three hundred thirty billion, one hundred thirteen million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 123158639 246317278 369475917 492634556 615793195 738951834 985269112 1108427751 1231586390 1477903668 1847379585 1970538224 2216855502 2463172780 2955807336 3078965975 3325283253 3694759170 4433711004 4926345560 5542138755 5911614672 6157931950 6650566506 7389518340 8867422008 9236897925 9852691120 11084277510 12315863900 13301133012 14779036680 16626416265 17734844016 18473795850 22168555020 24631727800 26602266024 27710693775 29558073360 33252832530 36947591700 44337110040 49263455600 53204532048 55421387550 66505665060 73895183400 83132081325 88674220080 110842775100 133011330120 147790366800 166264162650 221685550200 266022660240 332528325300 443371100400 665056650600 1330113301200