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30142201320 = 233257111087381
BaseRepresentation
bin11100000100100111…
…010111110111101000
32212210122212110220200
4130010213113313220
5443212400420240
621502551552200
72114644324650
oct340447276750
985718773820
1030142201320
1111868539a90
125a1268b660
132ac49933aa
14165d2a3360
15bb6367930
hex7049d7de8

30142201320 has 192 divisors, whose sum is σ = 122134746240. Its totient is φ = 6263308800.

The previous prime is 30142201303. The next prime is 30142201321. The reversal of 30142201320 is 2310224103.

30142201320 is a `hidden beast` number, since 3 + 0 + 142 + 201 + 320 = 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 = 30142201293 and 30142201302.

It is not an unprimeable number, because it can be changed into a prime (30142201321) 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 47 ways as a sum of consecutive naturals, for example, 515971 + ... + 571410.

It is an arithmetic number, because the mean of its divisors is an integer number (636118470).

Almost surely, 230142201320 is an apocalyptic number.

30142201320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30142201320 is an abundant number, since it is smaller than the sum of its proper divisors (91992544920).

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

30142201320 is a wasteful number, since it uses less digits than its factorization.

30142201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087416 (or 1087409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30142201320 its reverse (2310224103), we get a palindrome (32452425423).

The spelling of 30142201320 in words is "thirty billion, one hundred forty-two million, two hundred one thousand, three hundred twenty".