Search a number
-
+
3013231023 = 341114922697
BaseRepresentation
bin1011001110011010…
…0100000110101111
321202222220222220000
42303212210012233
522132341343043
61214555555343
7134446020045
oct26346440657
97688828800
103013231023
111306988080
1270115bb53
1339036794a
1420828c395
151298092d3
hexb39a41af

3013231023 has 40 divisors (see below), whose sum is σ = 4943624400. Its totient is φ = 1813864320.

The previous prime is 3013231021. The next prime is 3013231097. The reversal of 3013231023 is 3201323103.

3013231023 is a `hidden beast` number, since 301 + 32 + 310 + 23 = 666.

It is not a de Polignac number, because 3013231023 - 21 = 3013231021 is a prime.

It is a super-2 number, since 2×30132310232 = 18159122395939253058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3013230987 and 3013231005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013231021) 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 39 ways as a sum of consecutive naturals, for example, 121411 + ... + 144107.

It is an arithmetic number, because the mean of its divisors is an integer number (123590610).

Almost surely, 23013231023 is an apocalyptic number.

3013231023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3013231023 is a deficient number, since it is larger than the sum of its proper divisors (1930393377).

3013231023 is a wasteful number, since it uses less digits than its factorization.

3013231023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22869 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3013231023 is about 54892.9050333465. The cubic root of 3013231023 is about 1444.3667316873.

Adding to 3013231023 its reverse (3201323103), we get a palindrome (6214554126).

The spelling of 3013231023 in words is "three billion, thirteen million, two hundred thirty-one thousand, twenty-three".

Divisors: 1 3 9 11 27 33 81 99 149 297 447 891 1341 1639 4023 4917 12069 14751 22697 44253 68091 132759 204273 249667 612819 749001 1838457 2247003 3381853 6741009 10145559 20223027 30436677 37200383 91310031 111601149 273930093 334803447 1004410341 3013231023