Search a number
-
+
122256652386 = 231129202931481
BaseRepresentation
bin111000111011100010…
…0000111100001100010
3102200120021110102121110
41301313010013201202
54000340200334021
6132055224204150
711555430253611
oct1616704074142
9380507412543
10122256652386
11479377694a0
121b83b609656
13b6b489303b
145cbad2d878
1532a8163476
hex1c77107862

122256652386 has 64 divisors (see below), whose sum is σ = 276084547200. Its totient is φ = 35751206400.

The previous prime is 122256652381. The next prime is 122256652387. The reversal of 122256652386 is 683256652221.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (122256652381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3867766 + ... + 3899246.

It is an arithmetic number, because the mean of its divisors is an integer number (4313821050).

Almost surely, 2122256652386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122256652386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138042273600).

122256652386 is an abundant number, since it is smaller than the sum of its proper divisors (153827894814).

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

122256652386 is a wasteful number, since it uses less digits than its factorization.

122256652386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33555.

The product of its digits is 2073600, while the sum is 48.

The spelling of 122256652386 in words is "one hundred twenty-two billion, two hundred fifty-six million, six hundred fifty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2029 4058 6087 12174 22319 31481 44638 58841 62962 66957 94443 117682 133914 176523 188886 346291 353046 647251 692582 912949 1038873 1294502 1825898 1941753 2077746 2738847 3883506 5477694 10042439 20084878 30127317 60254634 63874949 127749898 191624847 383249694 702624439 1405248878 1852373521 2107873317 3704747042 4215746634 5557120563 11114241126 20376108731 40752217462 61128326193 122256652386