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32001310000 = 24541117109157
BaseRepresentation
bin11101110011011011…
…010011110100110000
310001121020002222120201
4131303123103310300
51011014313410000
622411243044544
72212010434612
oct356333236460
9101536088521
1032001310000
11126319a5940
126251210754
13302cbaa7ba
141798164db2
15c7469996a
hex7736d3d30

32001310000 has 400 divisors, whose sum is σ = 90890030880. Its totient is φ = 10782720000.

The previous prime is 32001309971. The next prime is 32001310091. The reversal of 32001310000 is 1310023.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×320013100002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203829922 + ... + 203830078.

Almost surely, 232001310000 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 32001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45445015440).

32001310000 is an abundant number, since it is smaller than the sum of its proper divisors (58888720880).

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

32001310000 is a wasteful number, since it uses less digits than its factorization.

32001310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 32001310000 its reverse (1310023), we get a palindrome (32002620023).

The spelling of 32001310000 in words is "thirty-two billion, one million, three hundred ten thousand".