Search a number
-
+
12320003010 = 2357292022989
BaseRepresentation
bin10110111100101010…
…00101001111000010
31011210121020222221210
423132111011033002
5200212410044020
65354300230550
7614205204060
oct133625051702
934717228853
1012320003010
115252358677
122479b3b456
131214547213
1484c31b030
154c18d13e0
hex2de5453c2

12320003010 has 64 divisors (see below), whose sum is σ = 34957267200. Its totient is φ = 2718895872.

The previous prime is 12320002979. The next prime is 12320003027. The reversal of 12320003010 is 1030002321.

It is a happy number.

12320003010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1005405 + ... + 1017584.

It is an arithmetic number, because the mean of its divisors is an integer number (546207300).

Almost surely, 212320003010 is an apocalyptic number.

12320003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12320003010 is an abundant number, since it is smaller than the sum of its proper divisors (22637264190).

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

12320003010 is a wasteful number, since it uses less digits than its factorization.

12320003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023035.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12320003010 its reverse (1030002321), we get a palindrome (13350005331).

The spelling of 12320003010 in words is "twelve billion, three hundred twenty million, three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 2022989 4045978 6068967 10114945 12137934 14160923 20229890 28321846 30344835 42482769 58666681 60689670 70804615 84965538 117333362 141609230 176000043 212413845 293333405 352000086 410666767 424827690 586666810 821333534 880000215 1232000301 1760000430 2053333835 2464000602 4106667670 6160001505 12320003010