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132220510400 = 26521159127331
BaseRepresentation
bin111101100100011110…
…1001110000011000000
3110122021200012212020202
41323020331032003000
54131241422313100
6140424040224332
712360355536416
oct1731075160300
9418250185222
10132220510400
11510900384a0
122176046b0a8
13c611c37a04
1465843652b6
15368cc827d5
hex1ec8f4e0c0

132220510400 has 168 divisors, whose sum is σ = 360940380480. Its totient is φ = 47264896000.

The previous prime is 132220510399. The next prime is 132220510417. The reversal of 132220510400 is 4015022231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974735 + ... + 1102065.

Almost surely, 2132220510400 is an apocalyptic number.

132220510400 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 132220510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180470190240).

132220510400 is an abundant number, since it is smaller than the sum of its proper divisors (228719870080).

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

132220510400 is a wasteful number, since it uses less digits than its factorization.

132220510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127423 (or 127408 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 132220510400 its reverse (4015022231), we get a palindrome (136235532631).

The spelling of 132220510400 in words is "one hundred thirty-two billion, two hundred twenty million, five hundred ten thousand, four hundred".