Search a number
-
+
132321110020200 = 23335267101109139239
BaseRepresentation
bin11110000101100001101000…
…110000100101000001101000
3122100111202220200000022012000
4132011201220300211001220
5114320422113131121300
61145231251225051000
736604612313304453
oct3605415060450150
9570452820008160
10132321110020200
11391860820029a2
1212a10874026a60
1358aaa9a2a156a
14249653966249a
151046e98165c00
hex785868c25068

132321110020200 has 1536 divisors, whose sum is σ = 476819481600000. Its totient is φ = 33712132608000.

The previous prime is 132321110020199. The next prime is 132321110020243. The reversal of 132321110020200 is 2020011123231.

132321110020200 is a `hidden beast` number, since 1 + 32 + 321 + 110 + 0 + 2 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 553644811681 + ... + 553644811919.

It is an arithmetic number, because the mean of its divisors is an integer number (310429350000).

Almost surely, 2132321110020200 is an apocalyptic number.

132321110020200 is a gapful number since it is divisible by the number (10) 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 132321110020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238409740800000).

132321110020200 is an abundant number, since it is smaller than the sum of its proper divisors (344498371579800).

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

132321110020200 is a wasteful number, since it uses less digits than its factorization.

132321110020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132321110020200 its reverse (2020011123231), we get a palindrome (134341121143431).

The spelling of 132321110020200 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred ten million, twenty thousand, two hundred".