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21010120221220 = 22513293775310489
BaseRepresentation
bin1001100011011110011001…
…10000001010001000100100
32202101112210101212102202221
410301233030300022020210
510223212211234034340
6112403525504042124
74265634236155024
oct461571460121044
982345711772687
1021010120221220
11677038414aa19
122433a9a903344
13b95327140550
14528c7679da84
152667c4d0644a
hex131bccc0a224

21010120221220 has 96 divisors (see below), whose sum is σ = 50482127656800. Its totient is φ = 7287645302784.

The previous prime is 21010120221203. The next prime is 21010120221221. The reversal of 21010120221220 is 2212202101012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 125073980964 + 20885046240256 = 353658^2 + 4570016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21010120221194 and 21010120221203.

It is not an unprimeable number, because it can be changed into a prime (21010120221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37376265 + ... + 37934224.

It is an arithmetic number, because the mean of its divisors is an integer number (525855496425).

Almost surely, 221010120221220 is an apocalyptic number.

21010120221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010120221220 is an abundant number, since it is smaller than the sum of its proper divisors (29472007435580).

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

21010120221220 is a wasteful number, since it uses less digits than its factorization.

21010120221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75310577 (or 75310575 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21010120221220 its reverse (2212202101012), we get a palindrome (23222322322232).

The spelling of 21010120221220 in words is "twenty-one trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 37 52 58 65 74 116 130 145 148 185 260 290 370 377 481 580 740 754 962 1073 1508 1885 1924 2146 2405 3770 4292 4810 5365 7540 9620 10730 13949 21460 27898 55796 69745 139490 278980 75310489 150620978 301241956 376552445 753104890 979036357 1506209780 1958072714 2184004181 2786488093 3916145428 4368008362 4895181785 5572976186 8736016724 9790363570 10920020905 11145952372 13932440465 19580727140 21840041810 27864880930 28392054353 36224345209 43680083620 55729761860 56784108706 72448690418 80808154697 113568217412 141960271765 144897380836 161616309394 181121726045 283920543530 323232618788 362243452090 404040773485 567841087060 724486904180 808081546970 1050506011061 1616163093940 2101012022122 4202024044244 5252530055305 10505060110610 21010120221220