Search a number
-
+
122314432122 = 23247532727919
BaseRepresentation
bin111000111101010000…
…0100001111001111010
3102200201022011221111200
41301322200201321322
54000444443311442
6132105050435030
711560031342631
oct1617240417172
9380638157450
10122314432122
1147967343243
121b856a32a76
13b6c384352c
145cc4890518
1532ad27834c
hex1c7a821e7a

122314432122 has 48 divisors (see below), whose sum is σ = 275759976960. Its totient is φ = 39151079136.

The previous prime is 122314432109. The next prime is 122314432157. The reversal of 122314432122 is 221234413221.

122314432122 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 443 + 212 + 2 = 666.

122314432122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1319122 + ... + 1408797.

It is an arithmetic number, because the mean of its divisors is an integer number (5744999520).

Almost surely, 2122314432122 is an apocalyptic number.

122314432122 is an abundant number, since it is smaller than the sum of its proper divisors (153445544838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122314432122 is a wasteful number, since it uses less digits than its factorization.

122314432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728027 (or 2728024 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122314432122 its reverse (221234413221), we get a palindrome (343548845343).

The spelling of 122314432122 in words is "one hundred twenty-two billion, three hundred fourteen million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 53 94 106 141 159 282 318 423 477 846 954 2491 4982 7473 14946 22419 44838 2727919 5455838 8183757 16367514 24551271 49102542 128212193 144579707 256424386 289159414 384636579 433739121 769273158 867478242 1153909737 1301217363 2307819474 2602434726 6795246229 13590492458 20385738687 40771477374 61157216061 122314432122