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132113121300 = 2232523730712923
BaseRepresentation
bin111101100001010001…
…1100100000000010100
3110122000012010221002200
41323002203210000110
54131031424340200
6140405242404500
712354613000566
oct1730243440024
9418005127080
10132113121300
115103545a476
1221730500730
13c5c5907b74
146573dad336
15368361d800
hex1ec28e4014

132113121300 has 216 divisors, whose sum is σ = 426711501216. Its totient is φ = 34163700480.

The previous prime is 132113121281. The next prime is 132113121313. The reversal of 132113121300 is 3121311231.

132113121300 is a `hidden beast` number, since 1 + 321 + 1 + 312 + 1 + 30 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10216639 + ... + 10229561.

Almost surely, 2132113121300 is an apocalyptic number.

132113121300 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 132113121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213355750608).

132113121300 is an abundant number, since it is smaller than the sum of its proper divisors (294598379916).

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

132113121300 is a wasteful number, since it uses less digits than its factorization.

132113121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132113121300 its reverse (3121311231), we get a palindrome (135234432531).

It can be divided in two parts, 1321131 and 21300, that added together give a palindrome (1342431).

The spelling of 132113121300 in words is "one hundred thirty-two billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred".