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31322112 = 21232549
BaseRepresentation
bin111011101111…
…1000000000000
32011221022212020
41313133000000
531004301422
63035201440
7530143053
oct167370000
964838766
1031322112
1116753848
12a5a6280
1366489c3
144234a9a
152b3a95c
hex1ddf000

31322112 has 52 divisors (see below), whose sum is σ = 83548200. Its totient is φ = 10436608.

The previous prime is 31322111. The next prime is 31322119. The reversal of 31322112 is 21122313.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31322091 and 31322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11014 + ... + 13562.

Almost surely, 231322112 is an apocalyptic number.

31322112 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 31322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41774100).

31322112 is an abundant number, since it is smaller than the sum of its proper divisors (52226088).

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

31322112 is an equidigital number, since it uses as much as digits as its factorization.

31322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2554 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 31322112 is about 5596.6161204785. The cubic root of 31322112 is about 315.2223574889. Note that the first 3 decimals are identical.

Adding to 31322112 its reverse (21122313), we get a palindrome (52444425).

It can be divided in two parts, 3 and 1322112, that multiplied together give a triangular number (3966336 = T2816).

The spelling of 31322112 in words is "thirty-one million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2549 3072 4096 5098 6144 7647 10196 12288 15294 20392 30588 40784 61176 81568 122352 163136 244704 326272 489408 652544 978816 1305088 1957632 2610176 3915264 5220352 7830528 10440704 15661056 31322112