Search a number
-
+
311340100023 = 323110909102293
BaseRepresentation
bin1001000011111010101…
…00001110100110110111
31002202121211022210111200
410201331110032212313
520100111031200043
6355005550503543
731331204120421
oct4417524164667
91082554283450
10311340100023
11110047408297
125040b204bb3
1323489354274
14110d7263811
15817302d7d3
hex487d50e9b7

311340100023 has 24 divisors (see below), whose sum is σ = 464267456640. Its totient is φ = 200844204480.

The previous prime is 311340100013. The next prime is 311340100033. The reversal of 311340100023 is 320001043113.

311340100023 is a `hidden beast` number, since 311 + 340 + 10 + 0 + 0 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (311340100013) and next prime (311340100033).

It is not a de Polignac number, because 311340100023 - 234 = 294160230839 is a prime.

It is a super-4 number, since 4×3113401000234 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311340099969 and 311340100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311340100013) 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, 2992465 + ... + 3094757.

It is an arithmetic number, because the mean of its divisors is an integer number (19344477360).

Almost surely, 2311340100023 is an apocalyptic number.

311340100023 is a deficient number, since it is larger than the sum of its proper divisors (152927356617).

311340100023 is a wasteful number, since it uses less digits than its factorization.

311340100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113239 (or 113236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 311340100023 its reverse (320001043113), we get a palindrome (631341143136).

The spelling of 311340100023 in words is "three hundred eleven billion, three hundred forty million, one hundred thousand, twenty-three".

Divisors: 1 3 9 31 93 279 10909 32727 98181 102293 306879 338179 920637 1014537 3043611 3171083 9513249 28539747 1115914337 3347743011 10043229033 34593344447 103780033341 311340100023