Search a number
-
+
313120012131 = 321716631230629
BaseRepresentation
bin1001000111001110110…
…10000011011101100011
31002221012212112200220100
410203213122003131203
520112232210342011
6355502332313443
731423256121513
oct4434732033543
91087185480810
10313120012131
111108800a1633
1250827312883
13236b102cbb4
14112257cb843
158229419d56
hex48e7683763

313120012131 has 24 divisors (see below), whose sum is σ = 479177786880. Its totient is φ = 196349158656.

The previous prime is 313120012123. The next prime is 313120012157. The reversal of 313120012131 is 131210021313.

313120012131 is a `hidden beast` number, since 313 + 1 + 200 + 121 + 31 = 666.

313120012131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 313120012131 - 23 = 313120012123 is a prime.

It is a super-2 number, since 2×3131200121312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313120012111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360876 + ... + 869753.

It is an arithmetic number, because the mean of its divisors is an integer number (19965741120).

Almost surely, 2313120012131 is an apocalyptic number.

313120012131 is a deficient number, since it is larger than the sum of its proper divisors (166057774749).

313120012131 is a wasteful number, since it uses less digits than its factorization.

313120012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232315 (or 1232312 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313120012131 its reverse (131210021313), we get a palindrome (444330033444).

The spelling of 313120012131 in words is "three hundred thirteen billion, one hundred twenty million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 1663 4989 14967 28271 84813 254439 1230629 3691887 11075661 20920693 62762079 188286237 2046536027 6139608081 18418824243 34791112459 104373337377 313120012131