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30321431010 = 232513194729021
BaseRepresentation
bin11100001111010011…
…000101000111100010
32220021011010021211100
4130033103011013202
5444044241243020
621532433255230
72122251624333
oct341723050742
986234107740
1030321431010
111194a7259a2
125a62704516
132b22b57770
141678dda28a
15bc6e6ca90
hex70f4c51e2

30321431010 has 192 divisors, whose sum is σ = 91273029120. Its totient is φ = 6920225280.

The previous prime is 30321431003. The next prime is 30321431017. The reversal of 30321431010 is 1013412303.

30321431010 is a `hidden beast` number, since 30 + 321 + 4 + 310 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30321431003) and next prime (30321431017).

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 (30321431017) 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 95 ways as a sum of consecutive naturals, for example, 1030300 + ... + 1059320.

It is an arithmetic number, because the mean of its divisors is an integer number (475380360).

Almost surely, 230321431010 is an apocalyptic number.

30321431010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321431010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45636514560).

30321431010 is an abundant number, since it is smaller than the sum of its proper divisors (60951598110).

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

30321431010 is a wasteful number, since it uses less digits than its factorization.

30321431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29113 (or 29110 counting only the distinct ones).

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

Adding to 30321431010 its reverse (1013412303), we get a palindrome (31334843313).

The spelling of 30321431010 in words is "thirty billion, three hundred twenty-one million, four hundred thirty-one thousand, ten".