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1200135330 = 232537734937
BaseRepresentation
bin100011110001000…
…1001110010100010
310002122021012011200
41013202021302202
54424213312310
6315031022030
741511660552
oct10742116242
93078235150
101200135330
11566499489
12295b0a916
13161840c64
14b5567162
15705659c0
hex47889ca2

1200135330 has 96 divisors (see below), whose sum is σ = 3249243504. Its totient is φ = 307058688.

The previous prime is 1200135329. The next prime is 1200135353. The reversal of 1200135330 is 335310021.

1200135330 is a `hidden beast` number, since 1 + 200 + 135 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 786297681 + 413837649 = 28041^2 + 20343^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240622 + ... + 245558.

Almost surely, 21200135330 is an apocalyptic number.

1200135330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200135330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624621752).

1200135330 is an abundant number, since it is smaller than the sum of its proper divisors (2049108174).

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

1200135330 is a wasteful number, since it uses less digits than its factorization.

1200135330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1200135330 is about 34642.9694166075. The cubic root of 1200135330 is about 1062.6985147877.

Adding to 1200135330 its reverse (335310021), we get a palindrome (1535445351).

The spelling of 1200135330 in words is "one billion, two hundred million, one hundred thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 4937 5402 6570 8103 9874 13505 14811 16206 24309 24685 27010 29622 40515 44433 48618 49370 74055 81030 88866 121545 148110 182669 222165 243090 360401 365338 444330 548007 720802 913345 1081203 1096014 1644021 1802005 1826690 2162406 2740035 3243609 3288042 3604010 5406015 5480070 6487218 8220105 10812030 13334837 16218045 16440210 26669674 32436090 40004511 66674185 80009022 120013533 133348370 200022555 240027066 400045110 600067665 1200135330