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111144013134 = 23721143637877
BaseRepresentation
bin110011110000010110…
…0110000110101001110
3101121212211001212100220
41213200230300311032
53310110331410014
6123020413532210
711013152344500
oct1474054606516
9347784055326
10111144013134
1143154997110
1219659aa4066
13a63351ac5b
1455450dbd70
152d577746a9
hex19e0b30d4e

111144013134 has 96 divisors (see below), whose sum is σ = 282187691136. Its totient is φ = 28858294080.

The previous prime is 111144013121. The next prime is 111144013181. The reversal of 111144013134 is 431310441111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14106004 + ... + 14113880.

It is an arithmetic number, because the mean of its divisors is an integer number (2939455116).

Almost surely, 2111144013134 is an apocalyptic number.

111144013134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111144013134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141093845568).

111144013134 is an abundant number, since it is smaller than the sum of its proper divisors (171043678002).

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

111144013134 is a wasteful number, since it uses less digits than its factorization.

111144013134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 111144013134 its reverse (431310441111), we get a palindrome (542454454245).

The spelling of 111144013134 in words is "one hundred eleven billion, one hundred forty-four million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 4363 7877 8726 13089 15754 23631 26178 30541 47262 47993 55139 61082 86647 91623 95986 110278 143979 165417 173294 183246 213787 259941 287958 330834 335951 385973 427574 519882 606529 641361 671902 771946 1007853 1157919 1213058 1282722 1819587 2015706 2315838 2351657 3639174 4245703 4703314 7054971 8491406 12737109 14109942 25474218 34367351 68734702 103102053 206204106 240571457 378040861 481142914 721714371 756081722 1134122583 1443428742 1684000199 2268245166 2646286027 3368000398 5052000597 5292572054 7938858081 10104001194 15877716162 18524002189 37048004378 55572006567 111144013134