Search a number
-
+
30120010000 = 24543012001
BaseRepresentation
bin11100000011010010…
…101110000100010000
32212202010010001010221
4130003102232010100
5443141210310000
621500440202424
72114254601143
oct340322560420
985663101127
1030120010000
1111856a62353
125a07169414
132ac01c3732
14165a36805a
15bb443261a
hex7034ae110

30120010000 has 50 divisors (see below), whose sum is σ = 72923580422. Its totient is φ = 12048000000.

The previous prime is 30120009989. The next prime is 30120010061. The reversal of 30120010000 is 1002103.

It can be written as a sum of positive squares in 5 ways, for example, as 6216376336 + 23903633664 = 78844^2 + 154608^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×301200100003 (a number of 32 digits) contains 333 as substring.

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 9 ways as a sum of consecutive naturals, for example, 1496001 + ... + 1516000.

Almost surely, 230120010000 is an apocalyptic number.

It is an amenable number.

30120010000 is an abundant number, since it is smaller than the sum of its proper divisors (42803570422).

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

30120010000 is an equidigital number, since it uses as much as digits as its factorization.

30120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012029 (or 3012008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 30120010000 its reverse (1002103), we get a palindrome (30121012103).

The spelling of 30120010000 in words is "thirty billion, one hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 3012001 6024002 12048004 15060005 24096008 30120010 48192016 60240020 75300025 120480040 150600050 240960080 301200100 376500125 602400200 753000250 1204800400 1506000500 1882500625 3012001000 3765001250 6024002000 7530002500 15060005000 30120010000