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31442112 = 26321321719
BaseRepresentation
bin111011111110…
…0010011000000
32012011102110200
41313330103000
531022121422
63041525200
7531152652
oct167742300
965142420
1031442112
1116825a19
12a643800
13668b500
1442666d2
152b612ac
hex1dfc4c0

31442112 has 252 divisors, whose sum is σ = 108767880. Its totient is φ = 8626176.

The previous prime is 31442111. The next prime is 31442113. The reversal of 31442112 is 21124413.

It is an interprime number because it is at equal distance from previous prime (31442111) and next prime (31442113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442111) by changing a digit.

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, 1654839 + ... + 1654857.

Almost surely, 231442112 is an apocalyptic number.

31442112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54383940).

31442112 is an abundant number, since it is smaller than the sum of its proper divisors (77325768).

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

31442112 is a wasteful number, since it uses less digits than its factorization.

31442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31442112 is about 5607.3266357508. The cubic root of 31442112 is about 315.6244001818.

Adding to 31442112 its reverse (21124413), we get a palindrome (52566525).

The spelling of 31442112 in words is "thirty-one million, four hundred forty-two thousand, one hundred twelve".