Search a number
-
+
132203120000 = 27547236077
BaseRepresentation
bin111101100011111101…
…0111000010110000000
3110122020110111100002212
41323013322320112000
54131222444320000
6140422215401252
712360054656510
oct1730772702600
9418213440085
10132203120000
115108123a866
1221756683228
13c60b459333
146581d19840
15368b499c35
hex1ec7eb8580

132203120000 has 160 divisors (see below), whose sum is σ = 376128912720. Its totient is φ = 45326592000.

The previous prime is 132203119999. The next prime is 132203120003. The reversal of 132203120000 is 21302231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132203120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 441962 + ... + 678038.

Almost surely, 2132203120000 is an apocalyptic number.

132203120000 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 132203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188064456360).

132203120000 is an abundant number, since it is smaller than the sum of its proper divisors (243925792720).

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

132203120000 is an frugal number, since it uses more digits than its factorization.

132203120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236118 (or 236091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 132203120000 its reverse (21302231), we get a palindrome (132224422231).

The spelling of 132203120000 in words is "one hundred thirty-two billion, two hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 80000 112000 140000 236077 280000 472154 560000 944308 1180385 1652539 1888616 2360770 3305078 3777232 4721540 5901925 6610156 7554464 8262695 9443080 11803850 13220312 15108928 16525390 18886160 23607700 26440624 29509625 30217856 33050780 37772320 41313475 47215400 52881248 59019250 66101560 75544640 82626950 94430800 105762496 118038500 132203120 147548125 151089280 165253900 188861600 206567375 211524992 236077000 264406240 295096250 330507800 377723200 413134750 472154000 528812480 590192500 661015600 755446400 826269500 944308000 1032836875 1057624960 1180385000 1322031200 1652539000 1888616000 2065673750 2360770000 2644062400 3305078000 3777232000 4131347500 4721540000 5288124800 6610156000 8262695000 9443080000 13220312000 16525390000 18886160000 26440624000 33050780000 66101560000 132203120000