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30212130312 = 233272131738749
BaseRepresentation
bin11100001000110010…
…001000011000001000
32212222112110020110100
4130020302020120020
5443333301132222
621513530445400
72116453604400
oct341062103010
985875406410
1030212130312
11118a3a61741
125a31b93860
132b063087b0
1416686a7800
15bbc57c4ac
hex708c88608

30212130312 has 288 divisors, whose sum is σ = 108537975000. Its totient is φ = 7499132928.

The previous prime is 30212130281. The next prime is 30212130323. The reversal of 30212130312 is 21303121203.

30212130312 is a `hidden beast` number, since 302 + 1 + 21 + 30 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24766575876 + 5445554436 = 157374^2 + 73794^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 760314 + ... + 799062.

Almost surely, 230212130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54268987500).

30212130312 is an abundant number, since it is smaller than the sum of its proper divisors (78325844688).

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

30212130312 is a wasteful number, since it uses less digits than its factorization.

30212130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38805 (or 38791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30212130312 its reverse (21303121203), we get a palindrome (51515251515).

The spelling of 30212130312 in words is "thirty billion, two hundred twelve million, one hundred thirty thousand, three hundred twelve".