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31213312 = 281383113
BaseRepresentation
bin111011100010…
…0011100000000
32011201210121121
41313010130000
530442311222
63033002024
7526210624
oct167043400
964653547
1031213312
111668a029
12a553314
13660b320
144207184
152b185c7
hex1dc4700

31213312 has 72 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 14106624.

The previous prime is 31213289. The next prime is 31213321. The reversal of 31213312 is 21331213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276168 + ... + 276280.

It is an arithmetic number, because the mean of its divisors is an integer number (951482).

Almost surely, 231213312 is an apocalyptic number.

31213312 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 31213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

31213312 is an abundant number, since it is smaller than the sum of its proper divisors (37293392).

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

31213312 is a wasteful number, since it uses less digits than its factorization.

31213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 31213312 is about 5586.8875055795. The cubic root of 31213312 is about 314.8569502483.

Adding to 31213312 its reverse (21331213), we get a palindrome (52544525).

The spelling of 31213312 in words is "thirty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 113 128 166 208 226 256 332 416 452 664 832 904 1079 1328 1469 1664 1808 2158 2656 2938 3328 3616 4316 5312 5876 7232 8632 9379 10624 11752 14464 17264 18758 21248 23504 28928 34528 37516 47008 69056 75032 94016 121927 138112 150064 188032 243854 276224 300128 376064 487708 600256 975416 1200512 1950832 2401024 3901664 7803328 15606656 31213312