Search a number
-
+
313241134322322 = 23237470332033517
BaseRepresentation
bin100011100111001000010001…
…0100010100101001010010010
31112002002120010020012212211100
41013032100202202211022102
5312024120320341303242
63030112553542125230
7122656632214252443
oct10716204242451222
91462076106185740
10313241134322322
1190898901166618
122b170292120816
13105a268746ba9b
14574cd47a212ca
1526331c281754c
hex11ce4228a5292

313241134322322 has 24 divisors (see below), whose sum is σ = 697032073673676. Its totient is φ = 101591719239456.

The previous prime is 313241134322279. The next prime is 313241134322357. The reversal of 313241134322322 is 223223431142313.

It is a happy number.

313241134322322 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 4 + 1 + 1 + 3 + 4 + 322 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213699986747361 + 99541147574961 = 14618481^2 + 9977031^2 .

It is an unprimeable number.

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, 235166016093 + ... + 235166017424.

Almost surely, 2313241134322322 is an apocalyptic number.

313241134322322 is an abundant number, since it is smaller than the sum of its proper divisors (383790939351354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313241134322322 is a wasteful number, since it uses less digits than its factorization.

313241134322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470332033562 (or 470332033559 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 313241134322322 its reverse (223223431142313), we get a palindrome (536464565464635).

The spelling of 313241134322322 in words is "three hundred thirteen trillion, two hundred forty-one billion, one hundred thirty-four million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 470332033517 940664067034 1410996100551 2821992201102 4232988301653 8465976603306 17402285240129 34804570480258 52206855720387 104413711440774 156620567161161 313241134322322