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111320031 = 31967103283
BaseRepresentation
bin1101010001010…
…01101111011111
321202110122101010
412220221233133
5211444220111
615013550303
72521130124
oct650515737
9252418333
10111320031
1157923429
1231345393
131a0a8154
1410ada74b
159b8daa6
hex6a29bdf

111320031 has 32 divisors (see below), whose sum is σ = 160675840. Its totient is φ = 68343264.

The previous prime is 111319997. The next prime is 111320047. The reversal of 111320031 is 130023111.

It is not a de Polignac number, because 111320031 - 210 = 111319007 is a prime.

It is a super-3 number, since 3×1113200313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111319989 and 111320016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111320051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393216 + ... + 393498.

It is an arithmetic number, because the mean of its divisors is an integer number (5021120).

Almost surely, 2111320031 is an apocalyptic number.

111320031 is a deficient number, since it is larger than the sum of its proper divisors (49355809).

111320031 is a wasteful number, since it uses less digits than its factorization.

111320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 111320031 is about 10550.8308203667. The cubic root of 111320031 is about 481.0509827343.

Adding to 111320031 its reverse (130023111), we get a palindrome (241343142).

It can be divided in two parts, 1113 and 20031, that multiplied together give a triangular number (22294503 = T6677).

The spelling of 111320031 in words is "one hundred eleven million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 19 57 67 103 201 283 309 849 1273 1957 3819 5377 5871 6901 16131 18961 20703 29149 56883 87447 131119 360259 393357 553831 1080777 1661493 1952983 5858949 37106677 111320031