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111134032 = 24172973193
BaseRepresentation
bin1101001111111…
…00010101010000
321202010012020021
412213330111100
5211422242112
615005553224
72516423632
oct647742520
9252105207
10111134032
1157806709
1231275814
131a0415a9
1410a8ca52
159b53907
hex69fc550

111134032 has 80 divisors (see below), whose sum is σ = 240319440. Its totient is φ = 49545216.

The previous prime is 111134029. The next prime is 111134041. The reversal of 111134032 is 230431111.

It can be written as a sum of positive squares in 8 ways, for example, as 379456 + 110754576 = 616^2 + 10524^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111133997 and 111134015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575728 + ... + 575920.

It is an arithmetic number, because the mean of its divisors is an integer number (3003993).

Almost surely, 2111134032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120159720).

111134032 is an abundant number, since it is smaller than the sum of its proper divisors (129185408).

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

111134032 is a wasteful number, since it uses less digits than its factorization.

111134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 111134032 is about 10542.0127110529. The cubic root of 111134032 is about 480.7829121384.

Adding to 111134032 its reverse (230431111), we get a palindrome (341565143).

The spelling of 111134032 in words is "one hundred eleven million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 73 116 136 146 193 232 272 292 386 464 493 584 772 986 1168 1241 1544 1972 2117 2482 3088 3281 3944 4234 4964 5597 6562 7888 8468 9928 11194 13124 14089 16936 19856 22388 26248 28178 33872 35989 44776 52496 56356 71978 89552 95149 112712 143956 190298 225424 239513 287912 380596 408581 479026 575824 761192 817162 958052 1522384 1634324 1916104 3268648 3832208 6537296 6945877 13891754 27783508 55567016 111134032