Search a number
-
+
21111021201220 = 22553193103192009
BaseRepresentation
bin1001100110011010010101…
…11010110110011101000100
32202202012020100212022020021
410303031022322312131010
510231340332411414340
6112522134054144524
74306135533303256
oct463151272663504
982665210768207
1021111021201220
1167aa152117695
12244b55a352144
13ba19b74ca742
1452dac9353cd6
1526922d1b2e4a
hex13334aeb6744

21111021201220 has 48 divisors (see below), whose sum is σ = 45403658863920. Its totient is φ = 8242152062976.

The previous prime is 21111021201181. The next prime is 21111021201271. The reversal of 21111021201220 is 2210212011112.

It can be written as a sum of positive squares in 8 ways, for example, as 1327882866244 + 19783138334976 = 1152338^2 + 4447824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21111021201194 and 21111021201203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51391425 + ... + 51800584.

It is an arithmetic number, because the mean of its divisors is an integer number (945909559665).

Almost surely, 221111021201220 is an apocalyptic number.

21111021201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111021201220 is an abundant number, since it is smaller than the sum of its proper divisors (24292637662700).

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

21111021201220 is a wasteful number, since it uses less digits than its factorization.

21111021201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103192264 (or 103192262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21111021201220 its reverse (2210212011112), we get a palindrome (23321233212332).

The spelling of 21111021201220 in words is "twenty-one trillion, one hundred eleven billion, twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 193 212 265 386 530 772 965 1060 1930 3860 10229 20458 40916 51145 102290 204580 103192009 206384018 412768036 515960045 1031920090 2063840180 5469176477 10938352954 19916057737 21876705908 27345882385 39832115474 54691764770 79664230948 99580288685 109383529540 199160577370 398321154740 1055551060061 2111102120122 4222204240244 5277755300305 10555510600610 21111021201220