Search a number
-
+
122084382149 = 29137239312841
BaseRepresentation
bin111000110110011001…
…0111101010111000101
3102200010021022012021022
41301230302331113011
54000012100212044
6132030152000525
711551236061202
oct1615462752705
9380107265238
10122084382149
11478594a62a4
121b7b1990145
13b687c975a2
145ca20c8ca9
153297e853ee
hex1c6ccbd5c5

122084382149 has 16 divisors (see below), whose sum is σ = 127279116720. Its totient is φ = 116956170240.

The previous prime is 122084382139. The next prime is 122084382157. The reversal of 122084382149 is 941283480221.

It can be written as a sum of positive squares in 8 ways, for example, as 9318040900 + 112766341249 = 96530^2 + 335807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122084382149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122084382139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9500969 + ... + 9513809.

It is an arithmetic number, because the mean of its divisors is an integer number (7954944795).

Almost surely, 2122084382149 is an apocalyptic number.

It is an amenable number.

122084382149 is a deficient number, since it is larger than the sum of its proper divisors (5194734571).

122084382149 is a wasteful number, since it uses less digits than its factorization.

122084382149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400.

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 122084382149 in words is "one hundred twenty-two billion, eighty-four million, three hundred eighty-two thousand, one hundred forty-nine".

Divisors: 1 29 137 2393 3973 12841 69397 327841 372389 1759217 9507389 30728513 51017293 891126877 4209806281 122084382149