Search a number
-
+
32130000000 = 273357717
BaseRepresentation
bin11101111011000110…
…001110010010000000
310001221012021010002000
4131323012032102000
51011300240000000
622432121224000
72215132331250
oct357306162200
9101835233060
1032130000000
111269860260a
126288332000
133050757c27
1417ab2a3960
15c80b1a000
hex77b18e480

32130000000 has 1024 divisors, whose sum is σ = 143437132800. Its totient is φ = 6912000000.

The previous prime is 32129999999. The next prime is 32130000031. The reversal of 32130000000 is 3123.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1889999992 + ... + 1890000008.

It is an arithmetic number, because the mean of its divisors is an integer number (140075325).

Almost surely, 232130000000 is an apocalyptic number.

32130000000 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 32130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71718566400).

32130000000 is an abundant number, since it is smaller than the sum of its proper divisors (111307132800).

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

32130000000 is an frugal number, since it uses more digits than its factorization.

32130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

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

Adding to 32130000000 its reverse (3123), we get a palindrome (32130003123).

The spelling of 32130000000 in words is "thirty-two billion, one hundred thirty million", and thus it is an aban number.