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312141033 = 36428177
BaseRepresentation
bin10010100110101…
…110010011101001
3210202100102000000
4102212232103221
51114402003113
650550133213
710510104111
oct2246562351
9722312000
10312141033
111502171a6
1288651209
134c88c049
142d654041
151c60b373
hex129ae4e9

312141033 has 14 divisors (see below), whose sum is σ = 467998554. Its totient is φ = 208093536.

The previous prime is 312141017. The next prime is 312141043. The reversal of 312141033 is 330141213.

It can be written as a sum of positive squares in only one way, i.e., 165173904 + 146967129 = 12852^2 + 12123^2 .

It is not a de Polignac number, because 312141033 - 24 = 312141017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312140997 and 312141015.

It is not an unprimeable number, because it can be changed into a prime (312141043) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 213360 + ... + 214817.

Almost surely, 2312141033 is an apocalyptic number.

It is an amenable number.

312141033 is a deficient number, since it is larger than the sum of its proper divisors (155857521).

312141033 is an frugal number, since it uses more digits than its factorization.

312141033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428195 (or 428180 counting only the distinct ones).

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

The square root of 312141033 is about 17667.5134922829. The cubic root of 312141033 is about 678.3444682347.

Adding to 312141033 its reverse (330141213), we get a palindrome (642282246).

The spelling of 312141033 in words is "three hundred twelve million, one hundred forty-one thousand, thirty-three".

Divisors: 1 3 9 27 81 243 729 428177 1284531 3853593 11560779 34682337 104047011 312141033