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132221102000 = 2453135085427
BaseRepresentation
bin111101100100011111…
…1011110011110110000
3110122021201022220202212
41323020333132132300
54131242100231000
6140424101031252
712360363552251
oct1731077363660
9418251286685
10132221102000
1151090401a19
12217606b5528
13c6120b4080
14658447ab28
15368cd4cc35
hex1ec8fde7b0

132221102000 has 80 divisors (see below), whose sum is σ = 344303817312. Its totient is φ = 48820089600.

The previous prime is 132221101979. The next prime is 132221102017. The reversal of 132221102000 is 201122231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2516714 + ... + 2568713.

Almost surely, 2132221102000 is an apocalyptic number.

132221102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221102000 is an abundant number, since it is smaller than the sum of its proper divisors (212082715312).

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

132221102000 is a wasteful number, since it uses less digits than its factorization.

132221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085463 (or 5085447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 132221102000 its reverse (201122231), we get a palindrome (132422224231).

The spelling of 132221102000 in words is "one hundred thirty-two billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 5085427 10170854 20341708 25427135 40683416 50854270 66110551 81366832 101708540 127135675 132221102 203417080 254271350 264442204 330552755 406834160 508542700 528884408 635678375 661105510 1017085400 1057768816 1271356750 1322211020 1652763775 2034170800 2542713500 2644422040 3305527550 5085427000 5288844080 6611055100 8263818875 10170854000 13222110200 16527637750 26444220400 33055275500 66110551000 132221102000