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31111424 = 28532293
BaseRepresentation
bin111011010101…
…1100100000000
32011112121211222
41312223210000
530431031144
63030454212
7525304601
oct166534400
964477758
1031111424
111661a523
12a504368
1365a3b36
1441bbda8
152ae82ee
hex1dab900

31111424 has 36 divisors (see below), whose sum is σ = 63300636. Its totient is φ = 15255552.

The previous prime is 31111391. The next prime is 31111429. The reversal of 31111424 is 42411113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 15366400 = 3968^2 + 3920^2 .

It is not an unprimeable number, because it can be changed into a prime (31111429) 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, 12422 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (1758351).

Almost surely, 231111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650318).

31111424 is an abundant number, since it is smaller than the sum of its proper divisors (32189212).

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

31111424 is an equidigital number, since it uses as much as digits as its factorization.

31111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2348 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 31111424 is about 5577.7615581880. The cubic root of 31111424 is about 314.5139863847.

Adding to 31111424 its reverse (42411113), we get a palindrome (73522537).

The spelling of 31111424 in words is "thirty-one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 2293 3392 4586 6784 9172 13568 18344 36688 73376 121529 146752 243058 293504 486116 587008 972232 1944464 3888928 7777856 15555712 31111424