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21010011210020 = 2257273293682013
BaseRepresentation
bin1001100011011110001100…
…10000010100000100100100
32202101112111210202002112002
410301233012100110010210
510223212000332210040
6112403511011344432
74265631443452100
oct461570620240444
982345453662462
1021010011210020
116770328664218
122433a6a2b2118
13b9530a693291
14528c66104900
152667ba471a15
hex131bc6414124

21010011210020 has 72 divisors (see below), whose sum is σ = 52027530872184. Its totient is φ = 7104755234304.

The previous prime is 21010011209989. The next prime is 21010011210059. The reversal of 21010011210020 is 2001211001012.

It can be written as a sum of positive squares in 4 ways, for example, as 6331503997504 + 14678507212516 = 2516248^2 + 3831254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21010011209983 and 21010011210010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146769467 + ... + 146912546.

It is an arithmetic number, because the mean of its divisors is an integer number (722604595447).

Almost surely, 221010011210020 is an apocalyptic number.

21010011210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010011210020 is an abundant number, since it is smaller than the sum of its proper divisors (31017519662164).

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

21010011210020 is a wasteful number, since it uses less digits than its factorization.

21010011210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293682109 (or 293682100 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21010011210020 its reverse (2001211001012), we get a palindrome (23011222211032).

The spelling of 21010011210020 in words is "twenty-one trillion, ten billion, eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 35770 71540 293682013 587364026 1174728052 1468410065 2055774091 2936820130 4111548182 5873640260 8223096364 10278870455 14390418637 20557740910 21438786949 28780837274 41115481820 42877573898 57561674548 71952093185 85755147796 107193934745 143904186370 150071508643 214387869490 287808372740 300143017286 428775738980 600286034572 750357543215 1050500560501 1500715086430 2101001121002 3001430172860 4202002242004 5252502802505 10505005605010 21010011210020