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30430323000 = 23345372111741
BaseRepresentation
bin11100010101110010…
…011110000100111000
32220112202000120120000
4130111302132010320
5444310130314000
621551323233000
72125043322600
oct342562360470
986482016500
1030430323000
11119a6140080
125a93078760
132b3c5926ac
141689663c00
15bd17cc000
hex715c9e138

30430323000 has 1920 divisors, whose sum is σ = 146412826560. Its totient is φ = 5806080000.

The previous prime is 30430322999. The next prime is 30430323019. The reversal of 30430323000 is 32303403.

30430323000 is a `hidden beast` number, since 3 + 0 + 430 + 3 + 230 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 742202980 + ... + 742203020.

Almost surely, 230430323000 is an apocalyptic number.

30430323000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30430323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73206413280).

30430323000 is an abundant number, since it is smaller than the sum of its proper divisors (115982503560).

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

30430323000 is a wasteful number, since it uses less digits than its factorization.

30430323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30430323000 its reverse (32303403), we get a palindrome (30462626403).

The spelling of 30430323000 in words is "thirty billion, four hundred thirty million, three hundred twenty-three thousand".