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312311421 = 32269129001
BaseRepresentation
bin10010100111010…
…111111001111101
3210202200001201200
4102213113321331
51114422431141
650553530113
710511413632
oct2247277175
9722601650
10312311421
11150323214
1288713939
134c91b776
142d69a189
151c641ab6
hex129d7e7d

312311421 has 12 divisors (see below), whose sum is σ = 452797020. Its totient is φ = 207432000.

The previous prime is 312311401. The next prime is 312311431. The reversal of 312311421 is 124113213.

312311421 is a `hidden beast` number, since 312 + 311 + 42 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63776196 + 248535225 = 7986^2 + 15765^2 .

It is not a de Polignac number, because 312311421 - 26 = 312311357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312311394 and 312311403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62080 + ... + 66921.

It is an arithmetic number, because the mean of its divisors is an integer number (37733085).

Almost surely, 2312311421 is an apocalyptic number.

It is an amenable number.

312311421 is a deficient number, since it is larger than the sum of its proper divisors (140485599).

312311421 is a wasteful number, since it uses less digits than its factorization.

312311421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129276 (or 129273 counting only the distinct ones).

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

The square root of 312311421 is about 17672.3349051561. The cubic root of 312311421 is about 678.4678747728.

Adding to 312311421 its reverse (124113213), we get a palindrome (436424634).

The spelling of 312311421 in words is "three hundred twelve million, three hundred eleven thousand, four hundred twenty-one".

Divisors: 1 3 9 269 807 2421 129001 387003 1161009 34701269 104103807 312311421