Search a number
-
+
32000002122 = 231117197919001
BaseRepresentation
bin11101110011010110…
…010100100001001010
310001121010122112111210
4131303112110201022
51011014000031442
622411155033550
72211663346554
oct356326244112
9101533575453
1032000002122
1112631192250
12625089b8b6
13302c8403ca
141797d044d4
15c744dc19c
hex77359484a

32000002122 has 128 divisors (see below), whose sum is σ = 78805094400. Its totient is φ = 8536320000.

The previous prime is 32000002117. The next prime is 32000002129. The reversal of 32000002122 is 22120000023.

It is a junction number, because it is equal to n+sod(n) for n = 32000002098 and 32000002107.

It is not an unprimeable number, because it can be changed into a prime (32000002129) 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 63 ways as a sum of consecutive naturals, for example, 1674622 + ... + 1693622.

It is an arithmetic number, because the mean of its divisors is an integer number (615664800).

Almost surely, 232000002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32000002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39402547200).

32000002122 is an abundant number, since it is smaller than the sum of its proper divisors (46805092278).

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

32000002122 is a wasteful number, since it uses less digits than its factorization.

32000002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19132.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32000002122 its reverse (22120000023), we get a palindrome (54120002145).

The spelling of 32000002122 in words is "thirty-two billion, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 79 102 114 158 187 209 237 323 374 418 474 561 627 646 869 969 1122 1254 1343 1501 1738 1938 2607 2686 3002 3553 4029 4503 5214 7106 8058 9006 10659 14773 16511 19001 21318 25517 29546 33022 38002 44319 49533 51034 57003 76551 88638 99066 114006 153102 209011 280687 323017 361019 418022 561374 627033 646034 722038 842061 969051 1083057 1254066 1501079 1684122 1938102 2166114 3002158 3553187 3971209 4503237 6137323 7106374 7942418 9006474 10659561 11913627 12274646 16511869 18411969 21319122 23827254 25518343 28520501 33023738 36823938 49535607 51036686 57041002 67510553 76555029 85561503 99071214 135021106 153110058 171123006 202531659 280701773 313725511 405063318 484848517 561403546 627451022 842105319 941176533 969697034 1454545551 1684210638 1882353066 2909091102 5333333687 10666667374 16000001061 32000002122