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31142112 = 253324397
BaseRepresentation
bin111011011001…
…1000011100000
32011121011221120
41312303003200
530433021422
63031252240
7525463221
oct166630340
964534846
1031142112
1116640591
12a51a080
1365b4ab1
1441c9248
152b0245c
hex1db30e0

31142112 has 24 divisors (see below), whose sum is σ = 81748296. Its totient is φ = 10380672.

The previous prime is 31142101. The next prime is 31142117. The reversal of 31142112 is 21124113.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×311421122 = 1939662279641088, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 31142091 and 31142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162103 + ... + 162294.

It is an arithmetic number, because the mean of its divisors is an integer number (3406179).

Almost surely, 231142112 is an apocalyptic number.

31142112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31142112 is an abundant number, since it is smaller than the sum of its proper divisors (50606184).

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

31142112 is a wasteful number, since it uses less digits than its factorization.

31142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324410 (or 324402 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 31142112 is about 5580.5118044853. The cubic root of 31142112 is about 314.6173635608.

Adding to 31142112 its reverse (21124113), we get a palindrome (52266225).

The spelling of 31142112 in words is "thirty-one million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 324397 648794 973191 1297588 1946382 2595176 3892764 5190352 7785528 10380704 15571056 31142112