Search a number
-
+
12000330330 = 23531127101603
BaseRepresentation
bin10110010110100011…
…01000001001011010
31010222022201221110220
423023101220021122
5144034041032310
65302440420510
7603244060542
oct131321501132
933868657426
1012000330330
1150a896787a
1223aaa77736
13119324bca1
1481baa6322
154a37d8670
hex2cb46825a

12000330330 has 64 divisors (see below), whose sum is σ = 29964238848. Its totient is φ = 3072444480.

The previous prime is 12000330323. The next prime is 12000330337. The reversal of 12000330330 is 3303300021.

It is an interprime number because it is at equal distance from previous prime (12000330323) and next prime (12000330337).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12000330337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67309 + ... + 168911.

It is an arithmetic number, because the mean of its divisors is an integer number (468191232).

Almost surely, 212000330330 is an apocalyptic number.

12000330330 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 12000330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982119424).

12000330330 is an abundant number, since it is smaller than the sum of its proper divisors (17963908518).

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

12000330330 is a wasteful number, since it uses less digits than its factorization.

12000330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101771.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 12000330330 its reverse (3303300021), we get a palindrome (15303630351).

The spelling of 12000330330 in words is "twelve billion, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 127 155 186 254 310 381 465 635 762 930 1270 1905 3810 3937 7874 11811 19685 23622 39370 59055 101603 118110 203206 304809 508015 609618 1016030 1524045 3048090 3149693 6299386 9449079 12903581 15748465 18898158 25807162 31496930 38710743 47245395 64517905 77421486 94490790 129035810 193553715 387107430 400011011 800022022 1200033033 2000055055 2400066066 4000110110 6000165165 12000330330