Search a number
-
+
132220300102000 = 24531110362879281
BaseRepresentation
bin11110000100000011110000…
…000001010000100101110000
3122100011010201001100212000221
4132010003300001100211300
5114312244133311231000
61145113100050422424
736564413203163425
oct3604036001204560
9570133631325027
10132220300102000
1139147350482310
12129b521ab91a14
1358a1422a486a6
1424916d4c13d4c
151044547c9561a
hex7840f0050970

132220300102000 has 320 divisors, whose sum is σ = 352253222350848. Its totient is φ = 47600609280000.

The previous prime is 132220300101991. The next prime is 132220300102013. The reversal of 132220300102000 is 201003022231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14246337360 + ... + 14246346640.

Almost surely, 2132220300102000 is an apocalyptic number.

132220300102000 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 132220300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176126611175424).

132220300102000 is an abundant number, since it is smaller than the sum of its proper divisors (220032922248848).

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

132220300102000 is a wasteful number, since it uses less digits than its factorization.

132220300102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132220300102000 its reverse (201003022231), we get a palindrome (132421303124231).

The spelling of 132220300102000 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred million, one hundred two thousand".