Search a number
-
+
113021122242 = 23719347431947
BaseRepresentation
bin110100101000010010…
…1010111011011000010
3101210201122011212222110
41221100211113123002
53322431401402432
6123530550520150
711110524455010
oct1512045273302
9353648155873
10113021122242
1143a28527a56
1219aa2666056
13a8723985c2
1456825278b0
152e1745edcc
hex1a509576c2

113021122242 has 128 divisors (see below), whose sum is σ = 273635573760. Its totient is φ = 30401110080.

The previous prime is 113021122199. The next prime is 113021122259. The reversal of 113021122242 is 242221120311.

It is a happy number.

It is a super-2 number, since 2×1130211222422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 119346013 + ... + 119346959.

It is an arithmetic number, because the mean of its divisors is an integer number (2137777920).

Almost surely, 2113021122242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113021122242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136817786880).

113021122242 is an abundant number, since it is smaller than the sum of its proper divisors (160614451518).

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

113021122242 is a wasteful number, since it uses less digits than its factorization.

113021122242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 113021122242 its reverse (242221120311), we get a palindrome (355242242553).

The spelling of 113021122242 in words is "one hundred thirteen billion, twenty-one million, one hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 347 399 431 694 798 862 947 1041 1293 1894 2082 2429 2586 2841 3017 4858 5682 6034 6593 6629 7287 8189 9051 13186 13258 14574 16378 17993 18102 19779 19887 24567 35986 39558 39774 46151 49134 53979 57323 92302 107958 114646 125951 138453 149557 171969 251902 276906 299114 328609 343938 377853 408157 448671 657218 755706 816314 897342 985827 1046899 1224471 1971654 2093798 2300263 2448942 2841583 2857099 3140697 4600526 5683166 5714198 6243571 6281394 6900789 7754983 8524749 8571297 12487142 13801578 15509966 17049498 17142594 18730713 19891081 23264949 37461426 39782162 43704997 46529898 54284881 59673243 87409994 108569762 119346486 131114991 141630479 162854643 262229982 283260958 325709286 424891437 849782874 991413353 1982826706 2690979101 2974240059 5381958202 5948480118 8072937303 16145874606 18836853707 37673707414 56510561121 113021122242