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21220000032300 = 22352531334591197
BaseRepresentation
bin1001101001100101010101…
…00100000110011000101100
32210010121112021202112012020
410310302222210012120230
510240132030002013200
6113044200004510140
74320044245134666
oct464625244063054
983117467675166
1021220000032300
1168413958a5443
1224686b30ab350
13bac064287c84
145350a6a79536
1526beaa7e6ea0
hex134caa90662c

21220000032300 has 72 divisors (see below), whose sum is σ = 62554958632656. Its totient is φ = 5551899375360.

The previous prime is 21220000032299. The next prime is 21220000032317. The reversal of 21220000032300 is 323000002212.

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 21220000032300.

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, 667279699 + ... + 667311498.

It is an arithmetic number, because the mean of its divisors is an integer number (868818869898).

Almost surely, 221220000032300 is an apocalyptic number.

21220000032300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220000032300 is an abundant number, since it is smaller than the sum of its proper divisors (41334958600356).

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

21220000032300 is a wasteful number, since it uses less digits than its factorization.

21220000032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334591267 (or 1334591260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21220000032300 its reverse (323000002212), we get a palindrome (21543000034512).

The spelling of 21220000032300 in words is "twenty-one trillion, two hundred twenty billion, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 1334591197 2669182394 4003773591 5338364788 6672955985 8007547182 13345911970 16015094364 20018867955 26691823940 33364779925 40037735910 66729559850 70733333441 80075471820 100094339775 133459119700 141466666882 200188679550 212200000323 282933333764 353666667205 400377359100 424400000646 707333334410 848800001292 1061000001615 1414666668820 1768333336025 2122000003230 3536666672050 4244000006460 5305000008075 7073333344100 10610000016150 21220000032300