Search a number
-
+
122211132201 = 32233723368483
BaseRepresentation
bin111000111010001011…
…0011110001100101001
3102200110002210202122200
41301310112132030221
54000242022212301
6132050520410413
711554335324654
oct1616426361451
9380402722580
10122211132201
1147913aa8504
121b828316a09
13b6a8315a12
145cb4c8089b
1532a4170c86
hex1c7459e329

122211132201 has 48 divisors (see below), whose sum is σ = 189995435136. Its totient is φ = 75498939648.

The previous prime is 122211132167. The next prime is 122211132287. The reversal of 122211132201 is 102231112221.

122211132201 is a `hidden beast` number, since 122 + 211 + 132 + 201 = 666.

It is not a de Polignac number, because 122211132201 - 215 = 122211099433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750306 + ... + 1818788.

It is an arithmetic number, because the mean of its divisors is an integer number (3958238232).

Almost surely, 2122211132201 is an apocalyptic number.

It is an amenable number.

122211132201 is a deficient number, since it is larger than the sum of its proper divisors (67784302935).

122211132201 is a wasteful number, since it uses less digits than its factorization.

122211132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68782 (or 68779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122211132201 its reverse (102231112221), we get a palindrome (224442244422).

The spelling of 122211132201 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 23 37 69 111 207 233 333 699 851 2097 2553 5359 7659 8621 16077 25863 48231 68483 77589 198283 205449 594849 616347 1575109 1784547 2533871 4725327 7601613 14175981 15956539 22804839 47869617 58279033 143608851 174837099 367000397 524511297 590391943 1101001191 1771175829 3303003573 5313527487 13579014689 40737044067 122211132201