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30518085312 = 26331113123503
BaseRepresentation
bin11100011011000001…
…010000011011000000
32220202212011100211000
4130123001100123000
51000000112212222
622004140252000
72130160305441
oct343301203300
986685140730
1030518085312
1111a40733210
125ab8541000
132b5480cc60
14169718b2c8
15bd93659ac
hex71b0506c0

30518085312 has 224 divisors, whose sum is σ = 105403253760. Its totient is φ = 8536458240.

The previous prime is 30518085293. The next prime is 30518085317. The reversal of 30518085312 is 21358081503.

30518085312 is a `hidden beast` number, since 30 + 518 + 0 + 85 + 31 + 2 = 666.

It is a super-2 number, since 2×305180853122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30518085317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185353 + ... + 308855.

It is an arithmetic number, because the mean of its divisors is an integer number (470550240).

Almost surely, 230518085312 is an apocalyptic number.

30518085312 is a gapful number since it is divisible by the number (32) 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 30518085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52701626880).

30518085312 is an abundant number, since it is smaller than the sum of its proper divisors (74885168448).

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

30518085312 is a wasteful number, since it uses less digits than its factorization.

30518085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123548 (or 123532 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 305180853 and 12, that added together give a triangular number (305180865 = T24705).

The spelling of 30518085312 in words is "thirty billion, five hundred eighteen million, eighty-five thousand, three hundred twelve".