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314123112 = 23324362821
BaseRepresentation
bin10010101110010…
…010001101101000
3210220002002220100
4102232102031220
51120403414422
651100425400
710533000552
oct2256221550
9726062810
10314123112
11151350386
1289248260
1350104284
142da0c4d2
151c89d7ac
hex12b92368

314123112 has 24 divisors (see below), whose sum is σ = 850750290. Its totient is φ = 104707680.

The previous prime is 314123111. The next prime is 314123113. The reversal of 314123112 is 211321413.

It is an interprime number because it is at equal distance from previous prime (314123111) and next prime (314123113).

It can be written as a sum of positive squares in only one way, i.e., 203747076 + 110376036 = 14274^2 + 10506^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (314123111) 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 5 ways as a sum of consecutive naturals, for example, 2181339 + ... + 2181482.

Almost surely, 2314123112 is an apocalyptic number.

It is an amenable number.

314123112 is an abundant number, since it is smaller than the sum of its proper divisors (536627178).

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

314123112 is a wasteful number, since it uses less digits than its factorization.

314123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362833 (or 4362826 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 314123112 is about 17723.5186122846. The cubic root of 314123112 is about 679.7772569186. Note that the first 3 decimals are identical.

Adding to 314123112 its reverse (211321413), we get a palindrome (525444525).

The spelling of 314123112 in words is "three hundred fourteen million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4362821 8725642 13088463 17451284 26176926 34902568 39265389 52353852 78530778 104707704 157061556 314123112