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600130031112 = 2332174121372129
BaseRepresentation
bin10001011101110101000…
…10011000111000001000
32010101001002112022122100
420232322202120320020
534313031241443422
61135410153153400
761233532045323
oct10567242307010
92111032468570
10600130031112
11211571836927
12983863bb860
13447908871b1
14210916517ba
15109264a57ac
hex8bba898e08

600130031112 has 288 divisors, whose sum is σ = 1777669756200. Its totient is φ = 182257582080.

The previous prime is 600130031101. The next prime is 600130031119. The reversal of 600130031112 is 211130031006.

600130031112 is a `hidden beast` number, since 600 + 1 + 30 + 0 + 31 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7085262276 + 593044768836 = 84174^2 + 770094^2 .

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

It is not an unprimeable number, because it can be changed into a prime (600130031119) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 281882464 + ... + 281884592.

Almost surely, 2600130031112 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 600130031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888834878100).

600130031112 is an abundant number, since it is smaller than the sum of its proper divisors (1177539725088).

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

600130031112 is a wasteful number, since it uses less digits than its factorization.

600130031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 600130031112 its reverse (211130031006), we get a palindrome (811260062118).

The spelling of 600130031112 in words is "six hundred billion, one hundred thirty million, thirty-one thousand, one hundred twelve".