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31212017 = 17672409
BaseRepresentation
bin111011100010…
…0000111110001
32011201201211122
41313010013301
530442241032
63032552025
7526204064
oct167040761
964651748
1031212017
1116689061
12a552615
13660a865
1442068db
152b18012
hex1dc41f1

31212017 has 12 divisors (see below), whose sum is σ = 33630660. Its totient is φ = 28866816.

The previous prime is 31212001. The next prime is 31212037. The reversal of 31212017 is 71021213.

31212017 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 26615281 + 4596736 = 5159^2 + 2144^2 .

It is not a de Polignac number, because 31212017 - 24 = 31212001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31211986 and 31212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76109 + ... + 76517.

It is an arithmetic number, because the mean of its divisors is an integer number (2802555).

Almost surely, 231212017 is an apocalyptic number.

It is an amenable number.

31212017 is a deficient number, since it is larger than the sum of its proper divisors (2418643).

31212017 is an equidigital number, since it uses as much as digits as its factorization.

31212017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 31212017 is about 5586.7716080040. The cubic root of 31212017 is about 314.8525958521.

The spelling of 31212017 in words is "thirty-one million, two hundred twelve thousand, seventeen".

Divisors: 1 17 67 409 1139 4489 6953 27403 76313 465851 1836001 31212017