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132212120320 = 285714755817
BaseRepresentation
bin111101100100001110…
…1001101101100000000
3110122021002102121020001
41323020131031230000
54131232300322240
6140423140325344
712360224323510
oct1731035155400
9418232377201
10132212120320
1151086327945
12217596a3854
13c61028ab77
1465831bd840
15368c17689a
hex1ec874db00

132212120320 has 72 divisors (see below), whose sum is σ = 361930703904. Its totient is φ = 45329866752.

The previous prime is 132212120309. The next prime is 132212120323. The reversal of 132212120320 is 23021212231.

It is not an unprimeable number, because it can be changed into a prime (132212120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7368949 + ... + 7386868.

It is an arithmetic number, because the mean of its divisors is an integer number (5026815332).

Almost surely, 2132212120320 is an apocalyptic number.

132212120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212120320 is an abundant number, since it is smaller than the sum of its proper divisors (229718583584).

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

132212120320 is an equidigital number, since it uses as much as digits as its factorization.

132212120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755845 (or 14755831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132212120320 its reverse (23021212231), we get a palindrome (155233332551).

The spelling of 132212120320 in words is "one hundred thirty-two billion, two hundred twelve million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 14755817 29511634 59023268 73779085 103290719 118046536 147558170 206581438 236093072 295116340 413162876 472186144 516453595 590232680 826325752 944372288 1032907190 1180465360 1652651504 1888744576 2065814380 2360930720 3305303008 3777489152 4131628760 4721861440 6610606016 8263257520 9443722880 13221212032 16526515040 18887445760 26442424064 33053030080 66106060160 132212120320