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20000201211221 = 711354718012179
BaseRepresentation
bin1001000110000101010001…
…11000110111110101010101
32121211000000102002002120012
410203002220320313311111
510110140403002224341
6110311544322450005
74132652426212340
oct443025070676525
977730012062505
1020000201211221
1164110461a8000
1222b020ab03905
13b2101aba342a
144d202cc77457
1524a3b787e0eb
hex1230a8e37d55

20000201211221 has 64 divisors (see below), whose sum is σ = 25212905871360. Its totient is φ = 15540308784000.

The previous prime is 20000201211163. The next prime is 20000201211229. The reversal of 20000201211221 is 12211210200002.

It is not a de Polignac number, because 20000201211221 - 218 = 20000200949077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20000201211196 and 20000201211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000201211229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9178613510 + ... + 9178615688.

It is an arithmetic number, because the mean of its divisors is an integer number (393951654240).

Almost surely, 220000201211221 is an apocalyptic number.

It is an amenable number.

20000201211221 is a deficient number, since it is larger than the sum of its proper divisors (5212704660139).

20000201211221 is a wasteful number, since it uses less digits than its factorization.

20000201211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20000201211221 its reverse (12211210200002), we get a palindrome (32211411411223).

The spelling of 20000201211221 in words is "twenty trillion, two hundred one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 77 121 547 847 1331 1801 2179 3829 6017 9317 12607 15253 19811 23969 42119 66187 138677 167783 217921 263659 463309 728057 985147 1191913 1525447 1845613 2397131 2900249 3924379 5096399 6896029 8343391 10836617 13111043 16779917 20301743 27470653 43168169 75856319 91777301 119202787 144221473 302177183 474849859 834419509 1009550311 1311230657 1586436203 2146635313 3323949013 5223348449 9178614599 11105053421 15026447191 23612988443 36563439143 165290919101 259742872873 1818200110111 2857171601603 20000201211221