Search a number
-
+
313112303101 = 13292557324809
BaseRepresentation
bin1001000111001101111…
…00101001010111111101
31002221012100001001002201
410203212330221113331
520112223222144401
6355501455151501
731423133443303
oct4434674512775
91087170031081
10313112303101
11110876806734
1250824815591
13236ac561040
1411224782273
1582288e5b01
hex48e6f295fd

313112303101 has 16 divisors (see below), whose sum is σ = 348962871600. Its totient is φ = 278950307328.

The previous prime is 313112303093. The next prime is 313112303111. The reversal of 313112303101 is 101303211313.

It can be written as a sum of positive squares in 8 ways, for example, as 3810592900 + 309301710201 = 61730^2 + 556149^2 .

It is a cyclic number.

It is not a de Polignac number, because 313112303101 - 23 = 313112303093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313112303111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801585 + ... + 1126393.

It is an arithmetic number, because the mean of its divisors is an integer number (21810179475).

Almost surely, 2313112303101 is an apocalyptic number.

It is an amenable number.

313112303101 is a deficient number, since it is larger than the sum of its proper divisors (35850568499).

313112303101 is a wasteful number, since it uses less digits than its factorization.

313112303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327408.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 313112303101 its reverse (101303211313), we get a palindrome (414415514414).

The spelling of 313112303101 in words is "three hundred thirteen billion, one hundred twelve million, three hundred three thousand, one hundred one".

Divisors: 1 13 29 377 2557 33241 74153 324809 963989 4222517 9419461 122452993 830536613 10796975969 24085561777 313112303101