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132201222320 = 2453974162507
BaseRepresentation
bin111101100011111001…
…1101001000010110000
3110122020022220220222102
41323013303221002300
54131222003103240
6140422110555532
712360032564066
oct1730763510260
9418208826872
10132201222320
1151080164032
1221755b08ba8
13c60ac4364b
146581984036
15368b222815
hex1ec7ce90b0

132201222320 has 40 divisors (see below), whose sum is σ = 308142142224. Its totient is φ = 52747276032.

The previous prime is 132201222319. The next prime is 132201222367. The reversal of 132201222320 is 23222102231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132201222292 and 132201222301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2049494 + ... + 2113013.

Almost surely, 2132201222320 is an apocalyptic number.

132201222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201222320 is an abundant number, since it is smaller than the sum of its proper divisors (175940919904).

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

132201222320 is a wasteful number, since it uses less digits than its factorization.

132201222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162917 (or 4162911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132201222320 its reverse (23222102231), we get a palindrome (155423324551).

The spelling of 132201222320 in words is "one hundred thirty-two billion, two hundred one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1588 1985 3176 3970 6352 7940 15880 31760 4162507 8325014 16650028 20812535 33300056 41625070 66600112 83250140 166500280 333000560 1652515279 3305030558 6610061116 8262576395 13220122232 16525152790 26440244464 33050305580 66100611160 132201222320