Search a number
-
+
3002300430120 = 233258339723417
BaseRepresentation
bin101011101100000111000…
…011001111011100101000
3101122000110110221020022200
4223230013003033130220
5343142202402230440
610215123205420200
7426623542406325
oct53540703173450
911560413836280
103002300430120
11a582a53609a2
12405a4840a660
1318a1672c5a64
14a5452637b4c
155316b69cc30
hex2bb070cf728

3002300430120 has 48 divisors (see below), whose sum is σ = 9757476399060. Its totient is φ = 800613447936.

The previous prime is 3002300430097. The next prime is 3002300430187. The reversal of 3002300430120 is 210340032003.

3002300430120 is a `hidden beast` number, since 3 + 0 + 0 + 230 + 0 + 430 + 1 + 2 + 0 = 666.

3002300430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2436727244004 + 565573186116 = 1561002^2 + 752046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3002300430093 and 3002300430102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4169861349 + ... + 4169862068.

Almost surely, 23002300430120 is an apocalyptic number.

3002300430120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002300430120 is an abundant number, since it is smaller than the sum of its proper divisors (6755175968940).

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

3002300430120 is a wasteful number, since it uses less digits than its factorization.

3002300430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339723434 (or 8339723427 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3002300430120 its reverse (210340032003), we get a palindrome (3212640462123).

The spelling of 3002300430120 in words is "three trillion, two billion, three hundred million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8339723417 16679446834 25019170251 33358893668 41698617085 50038340502 66717787336 75057510753 83397234170 100076681004 125095851255 150115021506 166794468340 200153362008 250191702510 300230043012 333588936680 375287553765 500383405020 600460086024 750575107530 1000766810040 1501150215060 3002300430120