Search a number
-
+
312023320213 = 11831931770757
BaseRepresentation
bin1001000101001100000…
…10100000011010010101
31002211101102220222102011
410202212002200122111
520103010432221323
6355201434344221
731354141314133
oct4424602403225
91084342828364
10312023320213
11110368036780
125057bb8b071
1323567a69b77
141115dcb0753
1581b2ed920d
hex48a60a0695

312023320213 has 16 divisors (see below), whose sum is σ = 346275268416. Its totient is φ = 278787824640.

The previous prime is 312023320187. The next prime is 312023320237.

312023320213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312023320213 - 213 = 312023312021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312023320243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709170 + ... + 1061587.

It is an arithmetic number, because the mean of its divisors is an integer number (21642204276).

Almost surely, 2312023320213 is an apocalyptic number.

It is an amenable number.

312023320213 is a deficient number, since it is larger than the sum of its proper divisors (34251948203).

312023320213 is a wasteful number, since it uses less digits than its factorization.

312023320213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771044.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 312023 and 320213, that added together give a palindrome (632236).

The spelling of 312023320213 in words is "three hundred twelve billion, twenty-three million, three hundred twenty thousand, two hundred thirteen".

Divisors: 1 11 83 193 913 2123 16019 176209 1770757 19478327 146972831 341756101 1616701141 3759317111 28365756383 312023320213