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30343431300 = 2235272131961137
BaseRepresentation
bin11100010000100111…
…000000010010000100
32220022200112000112220
4130100213000102010
5444120404300200
621534541012340
72122636624200
oct342047002204
986280460486
1030343431300
1111961092056
125a69b540b0
132b2758b4a0
14167bcc5b00
15bc8d664a0
hex7109c0484

30343431300 has 864 divisors, whose sum is σ = 118528663680. Its totient is φ = 5922201600.

The previous prime is 30343431203. The next prime is 30343431311. The reversal of 30343431300 is 313434303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221484832 + ... + 221484968.

Almost surely, 230343431300 is an apocalyptic number.

30343431300 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 30343431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59264331840).

30343431300 is an abundant number, since it is smaller than the sum of its proper divisors (88185232380).

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

30343431300 is a wasteful number, since it uses less digits than its factorization.

30343431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 30343431300 its reverse (313434303), we get a palindrome (30656865603).

The spelling of 30343431300 in words is "thirty billion, three hundred forty-three million, four hundred thirty-one thousand, three hundred".