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312124221 = 3234680469
BaseRepresentation
bin10010100110101…
…010001100111101
3210202022112221100
4102212222030331
51114400433341
650545523313
710510004103
oct2246521475
9722275840
10312124221
11150205602
1288643539
134c8844b6
142d64bc73
151c6063b6
hex129aa33d

312124221 has 6 divisors (see below), whose sum is σ = 450846110. Its totient is φ = 208082808.

The previous prime is 312124159. The next prime is 312124247. The reversal of 312124221 is 122421213.

It is a happy number.

312124221 is a `hidden beast` number, since 31 + 212 + 422 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 296012025 + 16112196 = 17205^2 + 4014^2 .

It is not a de Polignac number, because 312124221 - 225 = 278569789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312124194 and 312124203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312124271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17340226 + ... + 17340243.

Almost surely, 2312124221 is an apocalyptic number.

It is an amenable number.

312124221 is a deficient number, since it is larger than the sum of its proper divisors (138721889).

312124221 is a wasteful number, since it uses less digits than its factorization.

312124221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34680475 (or 34680472 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 312124221 is about 17667.0376973617. The cubic root of 312124221 is about 678.3322894109.

Adding to 312124221 its reverse (122421213), we get a palindrome (434545434).

The spelling of 312124221 in words is "three hundred twelve million, one hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 34680469 104041407 312124221