Search a number
-
+
124622230122 = 2321311345710313
BaseRepresentation
bin111010000010000010…
…0000101001001101010
3102220200010201020012200
41310010010011021222
54020211242330442
6133130050521030
712001153322655
oct1640404051152
9386603636180
10124622230122
1148941000015
122019b896176
13b9a09b8b90
14606318c89c
153395b8a34c
hex1d0410526a

124622230122 has 96 divisors (see below), whose sum is σ = 294028954128. Its totient is φ = 37919121408.

The previous prime is 124622230099. The next prime is 124622230127. The reversal of 124622230122 is 221032226421.

124622230122 is a `hidden beast` number, since 1 + 2 + 4 + 622 + 2 + 30 + 1 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21085653681 + 103536576441 = 145209^2 + 321771^2 .

It is not an unprimeable number, because it can be changed into a prime (124622230127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12078838 + ... + 12089150.

Almost surely, 2124622230122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124622230122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014477064).

124622230122 is an abundant number, since it is smaller than the sum of its proper divisors (169406724006).

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

124622230122 is a wasteful number, since it uses less digits than its factorization.

124622230122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10901 counting only the distinct ones).

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

Adding to 124622230122 its reverse (221032226421), we get a palindrome (345654456543).

The spelling of 124622230122 in words is "one hundred twenty-four billion, six hundred twenty-two million, two hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 457 678 914 1017 1371 1469 2034 2742 2938 4113 4407 5941 8226 8814 10313 11882 13221 17823 20626 26442 30939 35646 51641 53469 61878 92817 103282 106938 134069 154923 185634 268138 309846 402207 464769 671333 804414 929538 1165369 1206621 1342666 2013999 2330738 2413242 3496107 4027998 4713041 6041997 6992214 9426082 10488321 12083994 14139123 15149797 20976642 28278246 30299594 42417369 45449391 61269533 84834738 90898782 122539066 136348173 183808599 272696346 367617198 532573633 551425797 1065147266 1102851594 1597720899 3195441798 4793162697 6923457229 9586325394 13846914458 20770371687 41540743374 62311115061 124622230122