Search a number
-
+
132051123323220 = 2235175316314985749
BaseRepresentation
bin11110000001100110001100…
…010011000100000101010100
3122022112222000211102001010110
4132001212030103010011110
5114302011200032320340
61144503240521123020
736546243636245223
oct3601461423040524
9568488024361113
10132051123323220
1139091626606462
1212988486029470
13588b4a1514b6a
14248744662ccba
15103ee4585c680
hex78198c4c4154

132051123323220 has 192 divisors, whose sum is σ = 401326537248000. Its totient is φ = 32317424934912.

The previous prime is 132051123323191. The next prime is 132051123323221. The reversal of 132051123323220 is 22323321150231.

132051123323220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132051123323221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1318906 + ... + 16304654.

It is an arithmetic number, because the mean of its divisors is an integer number (2090242381500).

Almost surely, 2132051123323220 is an apocalyptic number.

132051123323220 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 132051123323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200663268624000).

132051123323220 is an abundant number, since it is smaller than the sum of its proper divisors (269275413924780).

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

132051123323220 is a wasteful number, since it uses less digits than its factorization.

132051123323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985994 (or 14985992 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 132051123323220 its reverse (22323321150231), we get a palindrome (154374444473451).

The spelling of 132051123323220 in words is "one hundred thirty-two trillion, fifty-one billion, one hundred twenty-three million, three hundred twenty-three thousand, two hundred twenty".