Search a number
-
+
111012135516 = 223219317878941
BaseRepresentation
bin110011101100011010…
…1101100001001011100
3101121112121220210021200
41213120311230021130
53304323101314031
6122555343155500
711006661403602
oct1473065541134
9347477823250
10111012135516
1143097502547
12196218a5b90
13a6120c5969
1455317ad872
152d4adc48e6
hex19d8d6c25c

111012135516 has 72 divisors (see below), whose sum is σ = 282257377584. Its totient is φ = 36787599360.

The previous prime is 111012135491. The next prime is 111012135571. The reversal of 111012135516 is 615531210111.

111012135516 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 12 + 135 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 111012135516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411606 + ... + 12420546.

Almost surely, 2111012135516 is an apocalyptic number.

It is an amenable number.

111012135516 is an abundant number, since it is smaller than the sum of its proper divisors (171245242068).

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

111012135516 is a wasteful number, since it uses less digits than its factorization.

111012135516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 111012135516 its reverse (615531210111), we get a palindrome (726543345627).

The spelling of 111012135516 in words is "one hundred eleven billion, twelve million, one hundred thirty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 1787 2316 3474 3574 5361 6948 7148 8941 10722 16083 17882 21444 26823 32166 35764 53646 64332 80469 107292 160938 321876 344891 689782 1034673 1379564 1725613 2069346 3104019 3451226 4138692 5176839 6208038 6902452 10353678 12416076 15530517 15977567 20707356 31061034 31955134 47932701 62122068 63910268 95865402 143798103 191730804 287596206 575192412 3083670431 6167340862 9251011293 12334681724 18502022586 27753033879 37004045172 55506067758 111012135516