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32300001000 = 2332533796997
BaseRepresentation
bin11110000101001110…
…101110011011101000
310002101001011001121100
4132011032232123220
51012122300013000
622501033041400
72222265323061
oct360516563350
9102331131540
1032300001000
1112775565903
126315256260
133079a3a837
1417c5ab7568
15c909eaa00
hex7853ae6e8

32300001000 has 192 divisors, whose sum is σ = 112125808080. Its totient is φ = 8380454400.

The previous prime is 32300000981. The next prime is 32300001001. The reversal of 32300001000 is 10000323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 628103844 + 31671897156 = 25062^2 + 177966^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (32300001001) 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, 284502 + ... + 381498.

Almost surely, 232300001000 is an apocalyptic number.

32300001000 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 32300001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56062904040).

32300001000 is an abundant number, since it is smaller than the sum of its proper divisors (79825807080).

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

32300001000 is a wasteful number, since it uses less digits than its factorization.

32300001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97061 (or 97044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 32300001000 its reverse (10000323), we get a palindrome (32310001323).

The spelling of 32300001000 in words is "thirty-two billion, three hundred million, one thousand".