Search a number
-
+
20002111011221 is a prime number
BaseRepresentation
bin1001000110001000110101…
…01110001011100110010101
32121211011221111200222122112
410203010122232023212111
510110203310404324341
6110312502024240405
74133050646226353
oct443043256134625
977734844628575
1020002111011221
116411936237009
1222b0662610105
13b212637587c1
144d21707727d3
1524a47a375aeb
hex12311ab8b995

20002111011221 has 2 divisors, whose sum is σ = 20002111011222. Its totient is φ = 20002111011220.

The previous prime is 20002111011209. The next prime is 20002111011287. The reversal of 20002111011221 is 12211011120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18431823832900 + 1570287178321 = 4293230^2 + 1253111^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002111011221 - 214 = 20002110994837 is a prime.

It is a super-3 number, since 3×200021110112213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20002111011196 and 20002111011205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002111011721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001055505610 + 10001055505611.

It is an arithmetic number, because the mean of its divisors is an integer number (10001055505611).

Almost surely, 220002111011221 is an apocalyptic number.

It is an amenable number.

20002111011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002111011221 is an equidigital number, since it uses as much as digits as its factorization.

20002111011221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20002111011221 its reverse (12211011120002), we get a palindrome (32213122131223).

The spelling of 20002111011221 in words is "twenty trillion, two billion, one hundred eleven million, eleven thousand, two hundred twenty-one".