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31550112 = 25321123433
BaseRepresentation
bin111100001011…
…0101010100000
32012100220121200
41320112222200
531034100422
63044121200
7532112556
oct170265240
965326550
1031550112
111689a080
12a696200
1366c8709
144293bd6
152b832ac
hex1e16aa0

31550112 has 144 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 9123840.

The previous prime is 31550111. The next prime is 31550119. The reversal of 31550112 is 21105513.

31550112 is a `hidden beast` number, since 3 + 1 + 550 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (31550111) 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 23 ways as a sum of consecutive naturals, for example, 72648 + ... + 73080.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 231550112 is an apocalyptic number.

31550112 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 31550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

31550112 is an abundant number, since it is smaller than the sum of its proper divisors (70818336).

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

31550112 is a wasteful number, since it uses less digits than its factorization.

31550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 31550112 is about 5616.9486378282. The cubic root of 31550112 is about 315.9853649153.

Adding to 31550112 its reverse (21105513), we get a palindrome (52655625).

It can be divided in two parts, 315501 and 12, that added together give a palindrome (315513).

The spelling of 31550112 in words is "thirty-one million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 433 506 528 552 736 759 792 828 866 1012 1056 1104 1299 1518 1584 1656 1732 2024 2208 2277 2598 3036 3168 3312 3464 3897 4048 4554 4763 5196 6072 6624 6928 7794 8096 9108 9526 9959 10392 12144 13856 14289 15588 18216 19052 19918 20784 24288 28578 29877 31176 36432 38104 39836 41568 42867 57156 59754 62352 72864 76208 79672 85734 89631 109549 114312 119508 124704 152416 159344 171468 179262 219098 228624 239016 318688 328647 342936 358524 438196 457248 478032 657294 685872 717048 876392 956064 985941 1314588 1371744 1434096 1752784 1971882 2629176 2868192 3505568 3943764 5258352 7887528 10516704 15775056 31550112