Search a number
-
+
11120515315212 = 223193131021152623
BaseRepresentation
bin1010000111010011001001…
…0111010111011000001100
31110101002222211111000101110
42201310302113113120030
52424144303410041322
635352405541012020
72225300510360412
oct241646227273014
943332884430343
1011120515315212
1135a8202a90a76
1212b72920b4010
136288772c6464
142a63430dd2b2
1514440ba00c0c
hexa1d325d760c

11120515315212 has 96 divisors (see below), whose sum is σ = 27427827051520. Its totient is φ = 3497070620160.

The previous prime is 11120515315207. The next prime is 11120515315267. The reversal of 11120515315212 is 21251351502111.

It is a self number, because there is not a number n which added to its sum of digits gives 11120515315212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72786333 + ... + 72938955.

Almost surely, 211120515315212 is an apocalyptic number.

11120515315212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120515315212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713913525760).

11120515315212 is an abundant number, since it is smaller than the sum of its proper divisors (16307311736308).

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

11120515315212 is a wasteful number, since it uses less digits than its factorization.

11120515315212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153983 (or 153981 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

Adding to 11120515315212 its reverse (21251351502111), we get a palindrome (32371866817323).

The spelling of 11120515315212 in words is "eleven trillion, one hundred twenty billion, five hundred fifteen million, three hundred fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 313 626 939 1021 1252 1878 2042 3063 3756 4084 5947 6126 11894 12252 17841 19399 23788 35682 38798 58197 71364 77596 116394 152623 232788 305246 319573 457869 610492 639146 915738 958719 1278292 1831476 1917438 2899837 3834876 5799674 6071887 8699511 11599348 12143774 17399022 18215661 24287548 34798044 36431322 47770999 72862644 95541998 143312997 155828083 191083996 286625994 311656166 467484249 573251988 623312332 907648981 934968498 1815297962 1869936996 2722946943 2960733577 3630595924 5445893886 5921467154 8882200731 10891787772 11842934308 17764401462 35528802924 48774189979 97548379958 146322569937 195096759916 292645139874 585290279748 926709609601 1853419219202 2780128828803 3706838438404 5560257657606 11120515315212