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132002012220 = 223513331511279
BaseRepresentation
bin111101011101111101…
…1101101110000111100
3110121201110002000002120
41322323323231300330
54130320003342340
6140350233122540
712352063406451
oct1727373556074
9417643060076
10132002012220
1150a88770591
12216bb259450
13c5a88a4a50
146563329828
1536789c24d0
hex1ebbeedc3c

132002012220 has 96 divisors (see below), whose sum is σ = 399240145920. Its totient is φ = 32394574080.

The previous prime is 132002012203. The next prime is 132002012227. The reversal of 132002012220 is 22210200231.

It is a happy number.

132002012220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132002012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002012227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541 + ... + 513819.

It is an arithmetic number, because the mean of its divisors is an integer number (4158751520).

Almost surely, 2132002012220 is an apocalyptic number.

132002012220 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 132002012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199620072960).

132002012220 is an abundant number, since it is smaller than the sum of its proper divisors (267238133700).

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

132002012220 is a wasteful number, since it uses less digits than its factorization.

132002012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511635 (or 511633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132002012220 its reverse (22210200231), we get a palindrome (154212212451).

The spelling of 132002012220 in words is "one hundred thirty-two billion, two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 331 390 662 780 993 1324 1655 1986 3310 3972 4303 4965 6620 8606 9930 12909 17212 19860 21515 25818 43030 51636 64545 86060 129090 258180 511279 1022558 1533837 2045116 2556395 3067674 5112790 6135348 6646627 7669185 10225580 13293254 15338370 19939881 26586508 30676740 33233135 39879762 66466270 79759524 99699405 132932540 169233349 199398810 338466698 398797620 507700047 676933396 846166745 1015400094 1692333490 2030800188 2200033537 2538500235 3384666980 4400067074 5077000470 6600100611 8800134148 10154000940 11000167685 13200201222 22000335370 26400402444 33000503055 44000670740 66001006110 132002012220