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21201221202021 = 32737197136133923
BaseRepresentation
bin1001101001000010010110…
…10000100011000001100101
32210001211001120002002212200
410310201023100203001211
510234330100111431041
6113031412341205113
74315511011536450
oct464411320430145
983054046062780
1021201221202021
1168344297212a3
122464b32100799
13baa3608a7493
14534204a34497
1526b75bd991b6
hex13484b423065

21201221202021 has 96 divisors (see below), whose sum is σ = 36154827042048. Its totient is φ = 11718753822720.

The previous prime is 21201221202013. The next prime is 21201221202043. The reversal of 21201221202021 is 12020212210212.

It is a happy number.

21201221202021 is a `hidden beast` number, since 21 + 201 + 221 + 20 + 202 + 1 = 666.

It is not a de Polignac number, because 21201221202021 - 23 = 21201221202013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21201221201985 and 21201221202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201221201021) 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 95 ways as a sum of consecutive naturals, for example, 624963766 + ... + 624997688.

It is an arithmetic number, because the mean of its divisors is an integer number (376612781688).

Almost surely, 221201221202021 is an apocalyptic number.

21201221202021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21201221202021 is a deficient number, since it is larger than the sum of its proper divisors (14953605840027).

21201221202021 is a wasteful number, since it uses less digits than its factorization.

21201221202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531 (or 35528 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201221202021 its reverse (12020212210212), we get a palindrome (33221433412233).

The spelling of 21201221202021 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-one million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 37 63 111 197 259 333 591 777 1361 1379 1773 2331 4083 4137 7289 9527 12249 12411 21867 28581 33923 50357 51023 65601 85743 101769 151071 153069 237461 268117 305307 352499 453213 459207 712383 804351 1057497 1255151 1876819 2137149 2413053 3172491 3765453 5630457 6682831 8786057 9920329 11296359 16891371 20048493 26358171 29760987 46169203 46779817 60145479 69442303 79074513 89282961 138507609 140339451 208326909 247264747 323184421 415522827 421018353 624980727 741794241 969553263 1708260511 1730853229 2225382723 2908659789 5124781533 5192559687 9095332991 11957823577 15374344599 15577679061 27285998973 35873470731 63667330937 81857996919 107620412193 191001992811 336527320667 573005978433 1009581962001 2355691244669 3028745886003 7067073734007 21201221202021