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132121220220 = 223251166727889
BaseRepresentation
bin111101100001100001…
…0011101010001111100
3110122000202101101201200
41323003002131101330
54131041013021340
6140410132135500
712355041561603
oct1730302352174
9418022341650
10132121220220
1151039a912a0
1221733167590
13c5c74b2322
1465750baa3a
1536841bd330
hex1ec309d47c

132121220220 has 72 divisors (see below), whose sum is σ = 437201135280. Its totient is φ = 32029386240.

The previous prime is 132121220191. The next prime is 132121220239. The reversal of 132121220220 is 22022121231.

132121220220 is a `hidden beast` number, since 1 + 321 + 2 + 122 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132121220193 and 132121220202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33361965 + ... + 33365924.

It is an arithmetic number, because the mean of its divisors is an integer number (6072237990).

Almost surely, 2132121220220 is an apocalyptic number.

132121220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121220220 is an abundant number, since it is smaller than the sum of its proper divisors (305079915060).

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

132121220220 is a wasteful number, since it uses less digits than its factorization.

132121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66727915 (or 66727910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132121220220 its reverse (22022121231), we get a palindrome (154143341451).

The spelling of 132121220220 in words is "one hundred thirty-two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66727889 133455778 200183667 266911556 333639445 400367334 600551001 667278890 734006779 800734668 1000918335 1201102002 1334557780 1468013558 2001836670 2202020337 2402204004 2936027116 3002755005 3670033895 4003673340 4404040674 6005510010 6606061011 7340067790 8808081348 11010101685 12011020020 13212122022 14680135580 22020203370 26424244044 33030305055 44040406740 66060610110 132121220220