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31120330320 = 24325235213607
BaseRepresentation
bin11100111110111010…
…101000111001010000
32222022211101120122200
4130332322220321100
51002213301032240
622144012403200
72151122305002
oct347672507120
988284346580
1031120330320
111221a684862
126046176500
132c1c513651
14171315a372
15c22178930
hex73eea8e50

31120330320 has 240 divisors, whose sum is σ = 109296076032. Its totient is φ = 7920506880.

The previous prime is 31120330301. The next prime is 31120330321. The reversal of 31120330320 is 2303302113.

31120330320 is a `hidden beast` number, since 3 + 1 + 12 + 0 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×311203303202 (a number of 22 digits) contains 22 as substring.

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 = 31120330293 and 31120330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120330321) 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, 8625957 + ... + 8629563.

Almost surely, 231120330320 is an apocalyptic number.

31120330320 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 31120330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54648038016).

31120330320 is an abundant number, since it is smaller than the sum of its proper divisors (78175745712).

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

31120330320 is a wasteful number, since it uses less digits than its factorization.

31120330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31120330320 its reverse (2303302113), we get a palindrome (33423632433).

The spelling of 31120330320 in words is "thirty-one billion, one hundred twenty million, three hundred thirty thousand, three hundred twenty".