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21011021011220 = 2259373877289189
BaseRepresentation
bin1001100011100000000100…
…11100011001100100010100
32202101122010011212022100112
410301300002130121210110
510223221032334324340
6112404155123102152
74265665454563652
oct461600234314424
982348104768315
1021011021011220
1167707a6671869
1224340b0511958
13b9543b952696
14528d20283dd2
15266828e3c065
hex131c02719914

21011021011220 has 48 divisors (see below), whose sum is σ = 44181779592720. Its totient is φ = 8393244447744.

The previous prime is 21011021011193. The next prime is 21011021011229. The reversal of 21011021011220 is 2211012011012.

It can be written as a sum of positive squares in 8 ways, for example, as 10242739383184 + 10768281628036 = 3200428^2 + 3281506^2 .

It is a super-2 number, since 2×210110210112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21011021011195 and 21011021011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011021011229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72510386 + ... + 72799574.

It is an arithmetic number, because the mean of its divisors is an integer number (920453741515).

Almost surely, 221011021011220 is an apocalyptic number.

21011021011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011021011220 is an abundant number, since it is smaller than the sum of its proper divisors (23170758581500).

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

21011021011220 is a wasteful number, since it uses less digits than its factorization.

21011021011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294012 (or 294010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21011021011220 its reverse (2211012011012), we get a palindrome (23222033022232).

The spelling of 21011021011220 in words is "twenty-one trillion, eleven billion, twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 937 1874 3748 3877 4685 7754 9370 15508 18740 19385 38770 77540 289189 578378 1156756 1445945 2891890 3632749 5783780 7265498 14530996 18163745 36327490 72654980 270970093 541940186 1083880372 1121185753 1354850465 2242371506 2709700930 4484743012 5419401860 5605928765 11211857530 22423715060 1050551050561 2101102101122 4202204202244 5252755252805 10505510505610 21011021011220