Search a number
-
+
32132130000 = 243544012671
BaseRepresentation
bin11101111011001110…
…010110010011010000
310001221100021022212220
4131323032112103100
51011301311130000
622432235021040
72215156412205
oct357316262320
9101840238786
1032132130000
1112699827943
126288b9a780
133051022599
1417ab699cac
15c80ddb1a0
hex77b3964d0

32132130000 has 200 divisors, whose sum is σ = 104024401536. Its totient is φ = 8544000000.

The previous prime is 32132129963. The next prime is 32132130047. The reversal of 32132130000 is 3123123.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12028665 + ... + 12031335.

Almost surely, 232132130000 is an apocalyptic number.

32132130000 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 32132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012200768).

32132130000 is an abundant number, since it is smaller than the sum of its proper divisors (71892271536).

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

32132130000 is a wasteful number, since it uses less digits than its factorization.

32132130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 32132130000 its reverse (3123123), we get a palindrome (32135253123).

The spelling of 32132130000 in words is "thirty-two billion, one hundred thirty-two million, one hundred thirty thousand".