Search a number
-
+
202104112221 = 32113180981401
BaseRepresentation
bin1011110000111001011…
…0000000010001011101
3201022122222112122211200
42330032112000101131
511302402123042341
6232502332310113
720413220415654
oct2741626002135
9638588478750
10202104112221
1178791558920
1233204312339
131609b2199ab
149ad371c19b
1553cd04edb6
hex2f0e58045d

202104112221 has 48 divisors (see below), whose sum is σ = 329150615040. Its totient is φ = 118388160000.

The previous prime is 202104112201. The next prime is 202104112267. The reversal of 202104112221 is 122211401202.

202104112221 is a `hidden beast` number, since 2 + 0 + 210 + 411 + 22 + 21 = 666.

It is not a de Polignac number, because 202104112221 - 210 = 202104111197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202104112194 and 202104112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202104112201) 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 47 ways as a sum of consecutive naturals, for example, 2442121 + ... + 2523521.

It is an arithmetic number, because the mean of its divisors is an integer number (6857304480).

Almost surely, 2202104112221 is an apocalyptic number.

It is an amenable number.

202104112221 is a deficient number, since it is larger than the sum of its proper divisors (127046502819).

202104112221 is a wasteful number, since it uses less digits than its factorization.

202104112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82258 (or 82255 counting only the distinct ones).

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

Adding to 202104112221 its reverse (122211401202), we get a palindrome (324315513423).

The spelling of 202104112221 in words is "two hundred two billion, one hundred four million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 809 1023 2427 3069 7281 8899 25079 26697 75237 80091 81401 225711 244203 275869 732609 827607 895411 2482821 2523431 2686233 7570293 8058699 22710879 27757741 65853409 83273223 197560227 249819669 592680681 724387499 2041455679 2173162497 6124367037 6519487491 18373101111 22456012469 67368037407 202104112221