Search a number
-
+
30142320030 = 2325701477767
BaseRepresentation
bin11100000100100111…
…110100110110011110
32212210200002111202100
4130010213310312132
5443212413220110
621502554305530
72114645331024
oct340447646636
985720074670
1030142320030
1111868610199
125a127282a6
132ac4a05434
14165d2d4714
15bb638cbc0
hex7049f4d9e

30142320030 has 48 divisors (see below), whose sum is σ = 78481993824. Its totient is φ = 8026468800.

The previous prime is 30142320023. The next prime is 30142320031. The reversal of 30142320030 is 3002324103.

30142320030 is a `hidden beast` number, since 301 + 42 + 320 + 0 + 3 + 0 = 666.

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 = 30142319985 and 30142320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175794 + ... + 301973.

It is an arithmetic number, because the mean of its divisors is an integer number (1635041538).

Almost surely, 230142320030 is an apocalyptic number.

30142320030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30142320030 is an abundant number, since it is smaller than the sum of its proper divisors (48339673794).

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

30142320030 is a wasteful number, since it uses less digits than its factorization.

30142320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478481 (or 478478 counting only the distinct ones).

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

Adding to 30142320030 its reverse (3002324103), we get a palindrome (33144644133).

The spelling of 30142320030 in words is "thirty billion, one hundred forty-two million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 701 1402 2103 3505 4206 6309 7010 10515 12618 21030 31545 63090 477767 955534 1433301 2388835 2866602 4299903 4777670 7166505 8599806 14333010 21499515 42999030 334914667 669829334 1004744001 1674573335 2009488002 3014232003 3349146670 5023720005 6028464006 10047440010 15071160015 30142320030