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31109312 = 2613139269
BaseRepresentation
bin111011010101…
…1000011000000
32011112111221202
41312223003000
530430444222
63030440332
7525265463
oct166530300
964474852
1031109312
1116618983
12a5030a8
1365a2ba0
1441bb2da
152ae7892
hex1dab0c0

31109312 has 56 divisors (see below), whose sum is σ = 67208400. Its totient is φ = 14201856.

The previous prime is 31109297. The next prime is 31109321. The reversal of 31109312 is 21390113.

It is a super-2 number, since 2×311093122 = 1935578586226688, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115514 + ... + 115782.

It is an arithmetic number, because the mean of its divisors is an integer number (1200150).

Almost surely, 231109312 is an apocalyptic number.

31109312 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 31109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33604200).

31109312 is an abundant number, since it is smaller than the sum of its proper divisors (36099088).

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

31109312 is a wasteful number, since it uses less digits than its factorization.

31109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 31109312 is about 5577.5722317152. The cubic root of 31109312 is about 314.5068692930.

Adding to 31109312 its reverse (21390113), we get a palindrome (52499425).

The spelling of 31109312 in words is "thirty-one million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 269 278 416 538 556 832 1076 1112 1807 2152 2224 3497 3614 4304 4448 6994 7228 8608 8896 13988 14456 17216 27976 28912 37391 55952 57824 74782 111904 115648 149564 223808 299128 486083 598256 972166 1196512 1944332 2393024 3888664 7777328 15554656 31109312