Search a number
-
+
312121200321 = 3274954304767
BaseRepresentation
bin1001000101010111101…
…11111000111011000001
31002211122021002210200100
410202223313320323001
520103211011402241
6355215252313013
731356440266650
oct4425367707301
91084567083610
10312121200321
1111040830a527
12505a8912769
132358211a7a8
141116ccad197
1581bb8c09b6
hex48abdf8ec1

312121200321 has 12 divisors (see below), whose sum is σ = 515247695872. Its totient is φ = 178354971576.

The previous prime is 312121200317. The next prime is 312121200337. The reversal of 312121200321 is 123002121213.

312121200321 is a `hidden beast` number, since 3 + 121 + 21 + 200 + 321 = 666.

It is not a de Polignac number, because 312121200321 - 22 = 312121200317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312121200294 and 312121200303.

It is not an unprimeable number, because it can be changed into a prime (312121200361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2477152321 + ... + 2477152446.

Almost surely, 2312121200321 is an apocalyptic number.

It is an amenable number.

312121200321 is a deficient number, since it is larger than the sum of its proper divisors (203126495551).

312121200321 is a wasteful number, since it uses less digits than its factorization.

312121200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954304780 (or 4954304777 counting only the distinct ones).

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

Adding to 312121200321 its reverse (123002121213), we get a palindrome (435123321534).

The spelling of 312121200321 in words is "three hundred twelve billion, one hundred twenty-one million, two hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 4954304767 14862914301 34680133369 44588742903 104040400107 312121200321