Search a number
-
+
313041113231 = 71189347131641
BaseRepresentation
bin1001000111000101011…
…01000101000010001111
31002221000101002012221212
410203202231011002033
520112102011110411
6355450433245035
731421310362540
oct4434255050217
91087011065855
10313041113231
1111083a602730
1250804a0377b
132369a896a62
14112191304c7
15822253268b
hex48e2b4508f

313041113231 has 32 divisors (see below), whose sum is σ = 395810634240. Its totient is φ = 240490483200.

The previous prime is 313041113219. The next prime is 313041113239. The reversal of 313041113231 is 132311140313.

It is a de Polignac number, because none of the positive numbers 2k-313041113231 is a prime.

It is a super-2 number, since 2×3130411132312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313041113197 and 313041113206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313041113239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312171 + ... + 2443811.

It is an arithmetic number, because the mean of its divisors is an integer number (12369082320).

Almost surely, 2313041113231 is an apocalyptic number.

313041113231 is a deficient number, since it is larger than the sum of its proper divisors (82769521009).

313041113231 is a wasteful number, since it uses less digits than its factorization.

313041113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132095.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 313041113231 its reverse (132311140313), we get a palindrome (445352253544).

The spelling of 313041113231 in words is "three hundred thirteen billion, forty-one million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 7 11 77 89 347 623 979 2429 3817 6853 26719 30883 131641 216181 339713 921487 1448051 2377991 10136357 11716049 45679427 82012343 128876539 319755989 502473697 902135773 3517315879 4065469003 28458283021 44720159033 313041113231