Search a number
-
+
1330110000 = 24325414779
BaseRepresentation
bin100111101000111…
…1101111000110000
310102200211120220100
41033101331320300
510211002010000
6335552512400
744650514502
oct11721757060
93380746810
101330110000
116228a336a
1231154b700
1318274b04b
14c891bd72
157bb8ba00
hex4f47de30

1330110000 has 150 divisors (see below), whose sum is σ = 4651901540. Its totient is φ = 354672000.

The previous prime is 1330109951. The next prime is 1330110007. The reversal of 1330110000 is 110331.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×13301100002 = 3538385224200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1330110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 82611 + ... + 97389.

Almost surely, 21330110000 is an apocalyptic number.

1330110000 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 1330110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325950770).

1330110000 is an abundant number, since it is smaller than the sum of its proper divisors (3321791540).

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

1330110000 is a wasteful number, since it uses less digits than its factorization.

1330110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14813 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1330110000 is about 36470.6731498063. The cubic root of 1330110000 is about 1099.7547662684.

Adding to 1330110000 its reverse (110331), we get a palindrome (1330220331).

The spelling of 1330110000 in words is "one billion, three hundred thirty million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 14779 15000 18000 22500 29558 30000 44337 45000 59116 73895 88674 90000 118232 133011 147790 177348 221685 236464 266022 295580 354696 369475 443370 532044 591160 665055 709392 738950 886740 1064088 1108425 1182320 1330110 1477900 1773480 1847375 2128176 2216850 2660220 2955800 3325275 3546960 3694750 4433700 5320440 5542125 5911600 6650550 7389500 8867400 9236875 10640880 11084250 13301100 14779000 16626375 17734800 18473750 22168500 26602200 27710625 29558000 33252750 36947500 44337000 53204400 55421250 66505500 73895000 83131875 88674000 110842500 133011000 147790000 166263750 221685000 266022000 332527500 443370000 665055000 1330110000