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132100130000 = 245413210013
BaseRepresentation
bin111101100000111001…
…0000000010011010000
3110121222021200220101102
41323001302000103100
54131020113130000
6140404100123532
712354364402226
oct1730162002320
9417867626342
10132100130000
1151029096963
12217280965a8
13c5c30098c7
14657238ab16
1536824043d5
hex1ec1c804d0

132100130000 has 50 divisors (see below), whose sum is σ = 319827648954. Its totient is φ = 52840048000.

The previous prime is 132100129963. The next prime is 132100130003. The reversal of 132100130000 is 31001231.

It can be written as a sum of positive squares in 5 ways, for example, as 61754238016 + 70345891984 = 248504^2 + 265228^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100130003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6595007 + ... + 6615006.

Almost surely, 2132100130000 is an apocalyptic number.

132100130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100130000 is an abundant number, since it is smaller than the sum of its proper divisors (187727518954).

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

132100130000 is an equidigital number, since it uses as much as digits as its factorization.

132100130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210041 (or 13210020 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 132100130000 its reverse (31001231), we get a palindrome (132131131231).

The spelling of 132100130000 in words is "one hundred thirty-two billion, one hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13210013 26420026 52840052 66050065 105680104 132100130 211360208 264200260 330250325 528400520 660500650 1056801040 1321001300 1651251625 2642002600 3302503250 5284005200 6605006500 8256258125 13210013000 16512516250 26420026000 33025032500 66050065000 132100130000