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112031325 = 3252783857
BaseRepresentation
bin1101010110101…
…11011001011101
321210210210002100
412223113121131
5212140000300
615041115313
72530151640
oct653273135
9253723070
10112031325
115826987a
1231628b39
131a296b33
1410c43a57
159c7e700
hex6ad765d

112031325 has 72 divisors (see below), whose sum is σ = 232360128. Its totient is φ = 50538240.

The previous prime is 112031323. The next prime is 112031329. The reversal of 112031325 is 523130211.

It is not a de Polignac number, because 112031325 - 21 = 112031323 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112031298 and 112031307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031323) 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 71 ways as a sum of consecutive naturals, for example, 130297 + ... + 131153.

It is an arithmetic number, because the mean of its divisors is an integer number (3227224).

Almost surely, 2112031325 is an apocalyptic number.

112031325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112031325 is an abundant number, since it is smaller than the sum of its proper divisors (120328803).

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

112031325 is a wasteful number, since it uses less digits than its factorization.

112031325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112031325 is about 10584.4851079304. The cubic root of 112031325 is about 482.0733877570.

Adding to 112031325 its reverse (523130211), we get a palindrome (635161536).

The spelling of 112031325 in words is "one hundred twelve million, thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 83 105 175 225 249 315 415 525 581 747 857 1245 1575 1743 2075 2571 2905 3735 4285 5229 5999 6225 7713 8715 12855 14525 17997 18675 21425 26145 29995 38565 43575 53991 64275 71131 89985 130725 149975 192825 213393 269955 355655 449925 497917 640179 1066965 1349775 1493751 1778275 2489585 3200895 4481253 5334825 7468755 12447925 16004475 22406265 37343775 112031325