Search a number
-
+
312330131123 = 97109137257839
BaseRepresentation
bin1001000101110000101…
…00111001011010110011
31002212011211020120212012
410202320110321122303
520104123003143443
6355252114353135
731364555211443
oct4427024713263
91085154216765
10312330131123
1111050524230a
125064688b7ab
13235b64b0a9a
141118c938123
1581cede1118
hex48b85396b3

312330131123 has 32 divisors (see below), whose sum is σ = 322401340800. Its totient is φ = 302494777344.

The previous prime is 312330131083. The next prime is 312330131147. The reversal of 312330131123 is 321131033213.

It is a cyclic number.

It is not a de Polignac number, because 312330131123 - 226 = 312263022259 is a prime.

It is a super-4 number, since 4×3123301311234 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312330131723) 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 31 ways as a sum of consecutive naturals, for example, 372264338 + ... + 372265176.

It is an arithmetic number, because the mean of its divisors is an integer number (10075041900).

Almost surely, 2312330131123 is an apocalyptic number.

312330131123 is a deficient number, since it is larger than the sum of its proper divisors (10071209677).

312330131123 is a wasteful number, since it uses less digits than its factorization.

312330131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312330131123 its reverse (321131033213), we get a palindrome (633461164336).

The spelling of 312330131123 in words is "three hundred twelve billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 97 109 137 257 839 10573 13289 14933 24929 28013 35209 81383 91451 114943 215623 1448501 2717261 3415273 3837781 8870747 11149471 12528787 20915431 23502907 29540351 372264757 1215292339 2279781979 2865414047 3219898259 312330131123