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132113112100 = 225210912120469
BaseRepresentation
bin111101100001010001…
…1100001110000100100
3110122000012010110110221
41323002203201300210
54131031424041400
6140405242254124
712354612632014
oct1730243416044
9418005113427
10132113112100
1151035453572
12217304b7344
13c5c5903918
146573da9c44
15368361ac1a
hex1ec28e1c24

132113112100 has 36 divisors (see below), whose sum is σ = 289315618900. Its totient is φ = 52360421760.

The previous prime is 132113112097. The next prime is 132113112191. The reversal of 132113112100 is 1211311231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8393491456 + 123719620644 = 91616^2 + 351738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6049335 + ... + 6071134.

Almost surely, 2132113112100 is an apocalyptic number.

132113112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113112100 is an abundant number, since it is smaller than the sum of its proper divisors (157202506800).

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

132113112100 is a wasteful number, since it uses less digits than its factorization.

132113112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120592 (or 12120585 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 132113112100 its reverse (1211311231), we get a palindrome (133324423331).

The spelling of 132113112100 in words is "one hundred thirty-two billion, one hundred thirteen million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 12120469 24240938 48481876 60602345 121204690 242409380 303011725 606023450 1212046900 1321131121 2642262242 5284524484 6605655605 13211311210 26422622420 33028278025 66056556050 132113112100