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30131212320 = 253251119531889
BaseRepresentation
bin11100000011111101…
…011101000000100000
32212202220012011211200
4130003331131000200
5443202042243240
621501520241200
72114452036026
oct340375350040
985686164750
1030131212320
1111862313870
125a0aa70200
132ac2616621
14165ba42716
15bb53e6930
hex703f5d020

30131212320 has 576 divisors, whose sum is σ = 120365481600. Its totient is φ = 6785925120.

The previous prime is 30131212277. The next prime is 30131212357. The reversal of 30131212320 is 2321213103.

30131212320 is a `hidden beast` number, since 3 + 0 + 131 + 212 + 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 = 30131212293 and 30131212302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15949936 + ... + 15951824.

It is an arithmetic number, because the mean of its divisors is an integer number (208967850).

Almost surely, 230131212320 is an apocalyptic number.

30131212320 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 30131212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60182740800).

30131212320 is an abundant number, since it is smaller than the sum of its proper divisors (90234269280).

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

30131212320 is a wasteful number, since it uses less digits than its factorization.

30131212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

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

Adding to 30131212320 its reverse (2321213103), we get a palindrome (32452425423).

The spelling of 30131212320 in words is "thirty billion, one hundred thirty-one million, two hundred twelve thousand, three hundred twenty".