Search a number
-
+
2010300012 = 223372659127
BaseRepresentation
bin111011111010010…
…1011111001101100
312012002201211012000
41313310223321230
513104114100022
6531251412300
7100550160660
oct16764537154
95162654160
102010300012
11941842176
124812b4090
13260642646
14150dba8a0
15bb7496ac
hex77d2be6c

2010300012 has 48 divisors (see below), whose sum is σ = 5956446720. Its totient is φ = 574371216.

The previous prime is 2010300011. The next prime is 2010300029. The reversal of 2010300012 is 2100030102.

It is a happy number.

It is a super-3 number, since 3×20103000123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010299967 and 2010300003.

It is not an unprimeable number, because it can be changed into a prime (2010300011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328808 + ... + 1330319.

It is an arithmetic number, because the mean of its divisors is an integer number (124092640).

Almost surely, 22010300012 is an apocalyptic number.

It is an amenable number.

2010300012 is an abundant number, since it is smaller than the sum of its proper divisors (3946146708).

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

2010300012 is a wasteful number, since it uses less digits than its factorization.

2010300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659147 (or 2659139 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2010300012 is about 44836.3692999333. The cubic root of 2010300012 is about 1262.0802145445.

Adding to 2010300012 its reverse (2100030102), we get a palindrome (4110330114).

The spelling of 2010300012 in words is "two billion, ten million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2659127 5318254 7977381 10636508 15954762 18613889 23932143 31909524 37227778 47864286 55841667 71796429 74455556 95728572 111683334 143592858 167525001 223366668 287185716 335050002 502575003 670100004 1005150006 2010300012