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111193434 = 232112192687
BaseRepresentation
bin1101010000010…
…10110101011010
321202020012201100
412220022311122
5211431142214
615011132230
72520062052
oct650126532
9252205640
10111193434
1157847300
12312a4076
131a062641
1410aa6562
159b66309
hex6a0ad5a

111193434 has 72 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 31909680.

The previous prime is 111193427. The next prime is 111193441. The reversal of 111193434 is 434391111.

It is an interprime number because it is at equal distance from previous prime (111193427) and next prime (111193441).

It is a junction number, because it is equal to n+sod(n) for n = 111193398 and 111193407.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 40039 + ... + 42725.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2111193434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111193434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

111193434 is an abundant number, since it is smaller than the sum of its proper divisors (167659686).

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

111193434 is a wasteful number, since it uses less digits than its factorization.

111193434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2722 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 111193434 is about 10544.8297283550. The cubic root of 111193434 is about 480.8685576097.

The spelling of 111193434 in words is "one hundred eleven million, one hundred ninety-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 2687 3762 4598 5374 6897 8061 13794 16122 20691 24183 29557 41382 48366 51053 59114 88671 102106 153159 177342 266013 306318 325127 459477 532026 561583 650254 918954 975381 1123166 1684749 1950762 2926143 3369498 5054247 5852286 6177413 10108494 12354826 18532239 37064478 55596717 111193434