Search a number
-
+
22212202120101 = 3272195934470383
BaseRepresentation
bin1010000110011101011100…
…11010101100001110100101
32220122110120120000222010100
411003032232122230032211
510402411042220320401
6115124051135014313
74451531034545100
oct503165632541645
986573516028110
1022212202120101
1170941620314a4
1225a8a5966a399
13c517a8b49086
1456b10d5c1737
15287bcc680b86
hex1433ae6ac3a5

22212202120101 has 72 divisors (see below), whose sum is σ = 39353147982720. Its totient is φ = 12004370429184.

The previous prime is 22212202120093. The next prime is 22212202120117. The reversal of 22212202120101 is 10102120221222.

It is a happy number.

22212202120101 is a `hidden beast` number, since 2 + 221 + 220 + 2 + 120 + 101 = 666.

It is not a de Polignac number, because 22212202120101 - 23 = 22212202120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212202120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2733556 + ... + 7203938.

It is an arithmetic number, because the mean of its divisors is an integer number (546571499760).

Almost surely, 222212202120101 is an apocalyptic number.

22212202120101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22212202120101 is a deficient number, since it is larger than the sum of its proper divisors (17140945862619).

22212202120101 is a wasteful number, since it uses less digits than its factorization.

22212202120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471015 (or 4471005 counting only the distinct ones).

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

Adding to 22212202120101 its reverse (10102120221222), we get a palindrome (32314322341323).

The spelling of 22212202120101 in words is "twenty-two trillion, two hundred twelve billion, two hundred two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 593 931 1197 1779 2793 4151 5337 8379 11267 12453 29057 33801 37359 78869 87171 101403 236607 261513 552083 709821 1656249 4470383 4968747 13411149 31292681 40233447 84937277 93878043 219048767 254811831 281634129 594560939 657146301 764435493 1783682817 1971438903 2650937119 4161926573 5351048451 7952811357 12485779719 18556559833 23858434071 37457339157 50367805261 55669679499 129895918831 151103415783 167009038497 352574636827 389687756493 453310247349 1057723910481 1169063269479 2468022457789 3173171731443 7404067373367 22212202120101