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312330141 = 3314997717
BaseRepresentation
bin10010100111011…
…100011110011101
3210202201000102000
4102213130132131
51114424031031
650554152513
710511522334
oct2247343635
9722630360
10312330141
11150336292
1288722739
134c927146
142d6a2d1b
151c6473e6
hex129dc79d

312330141 has 16 divisors (see below), whose sum is σ = 463080000. Its totient is φ = 208054224.

The previous prime is 312330127. The next prime is 312330157. The reversal of 312330141 is 141033213.

It is not a de Polignac number, because 312330141 - 27 = 312330013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330101) 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 15 ways as a sum of consecutive naturals, for example, 36615 + ... + 44331.

It is an arithmetic number, because the mean of its divisors is an integer number (28942500).

Almost surely, 2312330141 is an apocalyptic number.

It is an amenable number.

312330141 is a deficient number, since it is larger than the sum of its proper divisors (150749859).

312330141 is a wasteful number, since it uses less digits than its factorization.

312330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9219 counting only the distinct ones).

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

The square root of 312330141 is about 17672.8645386083. The cubic root of 312330141 is about 678.4814303288.

Adding to 312330141 its reverse (141033213), we get a palindrome (453363354).

The spelling of 312330141 in words is "three hundred twelve million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 27 1499 4497 7717 13491 23151 40473 69453 208359 11567783 34703349 104110047 312330141