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310212131112 = 233213331423217
BaseRepresentation
bin1001000001110100001…
…01010111100100101000
31002122201012212001001100
410200322011113210220
520040303301143422
6354302014321400
731261226415342
oct4407205274450
91078635761040
10310212131112
1110a61872a584
12501554b9260
132333975cc40
141102b524292
158108ec07ac
hex483a157928

310212131112 has 48 divisors (see below), whose sum is σ = 904785385140. Its totient is φ = 95449886208.

The previous prime is 310212131077. The next prime is 310212131147. The reversal of 310212131112 is 211131212013.

310212131112 is a `hidden beast` number, since 310 + 21 + 21 + 311 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (310212131077) and next prime (310212131147).

It can be written as a sum of positive squares in 2 ways, for example, as 310086377316 + 125753796 = 556854^2 + 11214^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165710673 + ... + 165712544.

Almost surely, 2310212131112 is an apocalyptic number.

It is an amenable number.

310212131112 is an abundant number, since it is smaller than the sum of its proper divisors (594573254028).

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

310212131112 is a wasteful number, since it uses less digits than its factorization.

310212131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331423242 (or 331423235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 310212131112 its reverse (211131212013), we get a palindrome (521343343125).

The spelling of 310212131112 in words is "three hundred ten billion, two hundred twelve million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 331423217 662846434 994269651 1325692868 1988539302 2651385736 2982808953 3977078604 4308501821 5965617906 7954157208 8617003642 11931235812 12925505463 17234007284 23862471624 25851010926 34468014568 38776516389 51702021852 77553032778 103404043704 155106065556 310212131112