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1021020220332 = 2233711631161269
BaseRepresentation
bin11101101101110011000…
…11000010101110101100
310121121102122200020221000
432312321203002232230
5113212022134022312
62101014502440300
7133523555451150
oct16667143025654
93547378606830
101021020220332
11364015329612
12145a69733090
1375388140138
14375bc021060
151b85bd59adc
hexedb98c2bac

1021020220332 has 96 divisors (see below), whose sum is σ = 3027848947200. Its totient is φ = 291468977856.

The previous prime is 1021020220313. The next prime is 1021020220349. The reversal of 1021020220332 is 2330220201201.

1021020220332 is a `hidden beast` number, since 10 + 2 + 102 + 0 + 220 + 332 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298594 + ... + 1459862.

It is an arithmetic number, because the mean of its divisors is an integer number (31540093200).

Almost surely, 21021020220332 is an apocalyptic number.

1021020220332 is a gapful number since it is divisible by the number (12) 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 1021020220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513924473600).

1021020220332 is an abundant number, since it is smaller than the sum of its proper divisors (2006828726868).

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

1021020220332 is a wasteful number, since it uses less digits than its factorization.

1021020220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162452 (or 1162444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1021020220332 its reverse (2330220201201), we get a palindrome (3351240421533).

The spelling of 1021020220332 in words is "one trillion, twenty-one billion, twenty million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1163 2326 3489 4652 6978 8141 10467 13956 16282 20934 24423 31401 32564 41868 48846 62802 73269 97692 125604 146538 219807 293076 439614 879228 1161269 2322538 3483807 4645076 6967614 8128883 10451421 13935228 16257766 20902842 24386649 31354263 32515532 41805684 48773298 62708526 73159947 97546596 125417052 146319894 219479841 292639788 438959682 877919364 1350555847 2701111694 4051667541 5402223388 8103335082 9453890929 12155002623 16206670164 18907781858 24310005246 28361672787 36465007869 37815563716 48620010492 56723345574 72930015738 85085018361 113446691148 145860031476 170170036722 255255055083 340340073444 510510110166 1021020220332