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220132121220 = 2232511111177839
BaseRepresentation
bin1100110100000011100…
…1011001101010000100
3210001012101102101222200
43031000321121222010
512101312310334340
6245043255154500
721622036104654
oct3150071315204
9701171371880
10220132121220
11853a2930910
12367b5975a30
13179b21a5c3b
14a923b5a364
155ad5adc330
hex3340e59a84

220132121220 has 72 divisors (see below), whose sum is σ = 728437207680. Its totient is φ = 53365362240.

The previous prime is 220132121201. The next prime is 220132121221. The reversal of 220132121220 is 22121231022.

220132121220 is a `hidden beast` number, since 220 + 1 + 321 + 2 + 122 + 0 = 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 = 220132121193 and 220132121202.

It is not an unprimeable number, because it can be changed into a prime (220132121221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55586940 + ... + 55590899.

It is an arithmetic number, because the mean of its divisors is an integer number (10117183440).

Almost surely, 2220132121220 is an apocalyptic number.

220132121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220132121220 is an abundant number, since it is smaller than the sum of its proper divisors (508305086460).

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

220132121220 is a wasteful number, since it uses less digits than its factorization.

220132121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111177865 (or 111177860 counting only the distinct ones).

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

Adding to 220132121220 its reverse (22121231022), we get a palindrome (242253352242).

The spelling of 220132121220 in words is "two hundred twenty billion, one hundred thirty-two million, one hundred twenty-one 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 111177839 222355678 333533517 444711356 555889195 667067034 1000600551 1111778390 1222956229 1334134068 1667667585 2001201102 2223556780 2445912458 3335335170 3668868687 4002402204 4891824916 5003002755 6114781145 6670670340 7337737374 10006005510 11006606061 12229562290 14675474748 18344343435 20012011020 22013212122 24459124580 36688686870 44026424244 55033030305 73377373740 110066060610 220132121220