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132101120000 = 2135425801
BaseRepresentation
bin111101100000111010…
…1110010000000000000
3110121222100120012102002
41323001311302000000
54131020341320000
6140404133243132
712354405664433
oct1730165620000
9417870505362
10132101120000
1151029702743
12217284934a8
13c5c32953c5
14657256781a
15368254c8d5
hex1ec1d72000

132101120000 has 140 divisors (see below), whose sum is σ = 330139763646. Its totient is φ = 52838400000.

The previous prime is 132101119993. The next prime is 132101120003. The reversal of 132101120000 is 21101231.

132101120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1855197184 + 130245922816 = 43072^2 + 360896^2 .

It is not an unprimeable number, because it can be changed into a prime (132101120003) 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, 5107100 + ... + 5132900.

Almost surely, 2132101120000 is an apocalyptic number.

132101120000 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 132101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165069881823).

132101120000 is an abundant number, since it is smaller than the sum of its proper divisors (198038643646).

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

132101120000 is an frugal number, since it uses more digits than its factorization.

132101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25847 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 132101120000 its reverse (21101231), we get a palindrome (132122221231).

The spelling of 132101120000 in words is "one hundred thirty-two billion, one hundred one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 12800 16000 20000 20480 25600 25801 32000 40000 40960 51200 51602 64000 80000 102400 103204 128000 129005 160000 204800 206408 256000 258010 320000 412816 512000 516020 640000 645025 825632 1024000 1032040 1280000 1290050 1651264 2064080 2560000 2580100 3225125 3302528 4128160 5120000 5160200 6450250 6605056 8256320 10320400 12900500 13210112 16125625 16512640 20640800 25801000 26420224 32251250 33025280 41281600 51602000 52840448 64502500 66050560 82563200 103204000 105680896 129005000 132101120 165126400 206408000 211361792 258010000 264202240 330252800 412816000 516020000 528404480 660505600 825632000 1032040000 1056808960 1321011200 1651264000 2064080000 2642022400 3302528000 4128160000 5284044800 6605056000 8256320000 13210112000 16512640000 26420224000 33025280000 66050560000 132101120000