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31321212 = 22313415983
BaseRepresentation
bin111011101111…
…0110001111100
32011221021121220
41313132301330
531004234322
63035153340
7530140326
oct167366174
964837556
1031321212
11167530aa
12a5a5850
136648480
144234616
152b3a55c
hex1ddec7c

31321212 has 96 divisors (see below), whose sum is σ = 82978560. Its totient is φ = 9131520.

The previous prime is 31321163. The next prime is 31321219. The reversal of 31321212 is 21212313.

It is a super-2 number, since 2×313212122 = 1962036642297888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31321191 and 31321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377323 + ... + 377405.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 231321212 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 31321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280).

31321212 is an abundant number, since it is smaller than the sum of its proper divisors (51657348).

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

31321212 is a wasteful number, since it uses less digits than its factorization.

31321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 31321212 is about 5596.5357141718. The cubic root of 31321212 is about 315.2193382923.

Adding to 31321212 its reverse (21212313), we get a palindrome (52533525).

The spelling of 31321212 in words is "thirty-one million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 59 78 82 83 118 123 156 164 166 177 236 246 249 332 354 492 498 533 708 767 996 1066 1079 1534 1599 2132 2158 2301 2419 3068 3198 3237 3403 4316 4602 4838 4897 6396 6474 6806 7257 9204 9676 9794 10209 12948 13612 14514 14691 19588 20418 29028 29382 31447 40836 44239 58764 62894 63661 88478 94341 125788 127322 132717 176956 188682 190983 200777 254644 265434 377364 381966 401554 530868 602331 763932 803108 1204662 2409324 2610101 5220202 7830303 10440404 15660606 31321212