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313231212 = 22347167827
BaseRepresentation
bin10010101010111…
…000011101101100
3210211101210110000
4102222320131230
51120141344322
651025344300
710522264350
oct2252703554
9724353400
10313231212
111508a1278
1288a98090
134cb81318
142d859460
151c7743ac
hex12ab876c

313231212 has 120 divisors (see below), whose sum is σ = 942568704. Its totient is φ = 88851168.

The previous prime is 313231211. The next prime is 313231213. The reversal of 313231212 is 212132313.

It is an interprime number because it is at equal distance from previous prime (313231211) and next prime (313231213).

It is a super-2 number, since 2×3132312122 = 196227584341977888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (313231211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 378343 + ... + 379169.

Almost surely, 2313231212 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 313231212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471284352).

313231212 is an abundant number, since it is smaller than the sum of its proper divisors (629337492).

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

313231212 is a wasteful number, since it uses less digits than its factorization.

313231212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313231212 is about 17698.3392441212. The cubic root of 313231212 is about 679.1332757937.

Adding to 313231212 its reverse (212132313), we get a palindrome (525363525).

The spelling of 313231212 in words is "three hundred thirteen million, two hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 167 189 252 324 334 378 501 567 668 756 827 1002 1134 1169 1503 1654 2004 2268 2338 2481 3006 3308 3507 4509 4676 4962 5789 6012 7014 7443 9018 9924 10521 11578 13527 14028 14886 17367 18036 21042 22329 23156 27054 29772 31563 34734 42084 44658 52101 54108 63126 66987 69468 89316 94689 104202 126252 133974 138109 156303 189378 208404 267948 276218 312606 378756 414327 468909 552436 625212 828654 937818 966763 1242981 1657308 1875636 1933526 2485962 2900289 3728943 3867052 4971924 5800578 7457886 8700867 11186829 11601156 14915772 17401734 22373658 26102601 34803468 44747316 52205202 78307803 104410404 156615606 313231212