Search a number
-
+
122232220101 = 33411011093243
BaseRepresentation
bin111000111010110011…
…0111010100111000101
3102200111120111010211000
41301311212322213011
54000312422020401
6132052552403513
711555012504505
oct1616546724705
9380446433730
10122232220101
11479249a1122
121b8333a6599
13b6ac7ba374
145cb79ada05
1532a5e39186
hex1c759ba9c5

122232220101 has 32 divisors (see below), whose sum is σ = 187338291840. Its totient is φ = 78713424000.

The previous prime is 122232220087. The next prime is 122232220127. The reversal of 122232220101 is 101022232221.

122232220101 is a `hidden beast` number, since 1 + 222 + 322 + 20 + 101 = 666.

It is not a de Polignac number, because 122232220101 - 25 = 122232220069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232220141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434815 + ... + 658428.

It is an arithmetic number, because the mean of its divisors is an integer number (5854321620).

Almost surely, 2122232220101 is an apocalyptic number.

It is an amenable number.

122232220101 is a deficient number, since it is larger than the sum of its proper divisors (65106071739).

122232220101 is a wasteful number, since it uses less digits than its factorization.

122232220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093394 (or 1093388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122232220101 its reverse (101022232221), we get a palindrome (223254452322).

The spelling of 122232220101 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 27 41 101 123 303 369 909 1107 2727 4141 12423 37269 111807 1093243 3279729 9839187 29517561 44822963 110417543 134468889 331252629 403406667 993757887 1210220001 2981273661 4527119263 13581357789 40744073367 122232220101