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313244041131 = 3375331271243
BaseRepresentation
bin1001000111011101100…
…11001011111110101011
31002221112111221000201000
410203232303023332223
520113010433304011
6355522522530043
731426323263220
oct4435663137653
91087474830630
10313244041131
1111093410543a
1250860966923
1323700937938
1411238075947
158235269356
hex48eeccbfab

313244041131 has 32 divisors (see below), whose sum is σ = 540367096320. Its totient is φ = 175619295072.

The previous prime is 313244041109. The next prime is 313244041147. The reversal of 313244041131 is 131140442313.

313244041131 is a `hidden beast` number, since 3 + 1 + 3 + 244 + 0 + 411 + 3 + 1 = 666.

It is not a de Polignac number, because 313244041131 - 29 = 313244040619 is a prime.

It is a super-2 number, since 2×3132440411312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313244041095 and 313244041104.

It is not an unprimeable number, because it can be changed into a prime (313244041171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15625605 + ... + 15645638.

It is an arithmetic number, because the mean of its divisors is an integer number (16886471760).

Almost surely, 2313244041131 is an apocalyptic number.

313244041131 is a deficient number, since it is larger than the sum of its proper divisors (227123055189).

313244041131 is a wasteful number, since it uses less digits than its factorization.

313244041131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31271312 (or 31271306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313244041131 its reverse (131140442313), we get a palindrome (444384483444).

The spelling of 313244041131 in words is "three hundred thirteen billion, two hundred forty-four million, forty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 10017 31271243 93813729 218898701 281441187 656696103 844323561 1657375879 1970088309 4972127637 5910264927 11601631153 14916382911 34804893459 44749148733 104414680377 313244041131