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132122021303300 = 225272197136871461
BaseRepresentation
bin11110000010101000001110…
…001001011001010000000100
3122022210202000211110121002112
4132002220032021121100010
5114304141344423201200
61145000004011000152
736554333566161500
oct3602501611312004
9568722024417075
10132122021303300
11391096a8680226
121299a171739058
13589508c9c9672
14248aa505d7300
151041be4beb535
hex782a0e259404

132122021303300 has 108 divisors (see below), whose sum is σ = 335206696468644. Its totient is φ = 45069034348800.

The previous prime is 132122021303249. The next prime is 132122021303303. The reversal of 132122021303300 is 3303120221231.

It can be written as a sum of positive squares in 6 ways, for example, as 29891762936896 + 102230258366404 = 5467336^2 + 10110898^2 .

It is not an unprimeable number, because it can be changed into a prime (132122021303303) 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 35 ways as a sum of consecutive naturals, for example, 67470431 + ... + 69401030.

It is an arithmetic number, because the mean of its divisors is an integer number (3103765708043).

Almost surely, 2132122021303300 is an apocalyptic number.

132122021303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122021303300 is an abundant number, since it is smaller than the sum of its proper divisors (203084675165344).

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

132122021303300 is a wasteful number, since it uses less digits than its factorization.

132122021303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136871686 (or 136871672 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132122021303300 its reverse (3303120221231), we get a palindrome (135425141524531).

The spelling of 132122021303300 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twenty-one million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 197 245 350 394 490 700 788 980 985 1225 1379 1970 2450 2758 3940 4900 4925 5516 6895 9653 9850 13790 19306 19700 27580 34475 38612 48265 68950 96530 137900 193060 241325 482650 965300 136871461 273742922 547485844 684357305 958100227 1368714610 1916200454 2737429220 3421786525 3832400908 4790501135 6706701589 6843573050 9581002270 13413403178 13687146100 19162004540 23952505675 26826806356 26963677817 33533507945 47905011350 53927355634 67067015890 95810022700 107854711268 134134031780 134818389085 167667539725 188745744719 269636778170 335335079450 377491489438 539273556340 670670158900 674091945425 754982978876 943728723595 1321220213033 1348183890850 1887457447190 2642440426066 2696367781700 3774914894380 4718643617975 5284880852132 6606101065165 9437287235950 13212202130330 18874574471900 26424404260660 33030505325825 66061010651650 132122021303300