Search a number
-
+
20112013031031 = 3247269313564701
BaseRepresentation
bin1001001001010101100010…
…11001000111011001110111
32122012200121202202001110200
410210222301121013121313
510114003400313443111
6110435155314051543
74144021301046315
oct444526131073167
978180552661420
1020112013031031
116454503045159
122309a14579bb3
13b2b72986b35c
144d75d892d0b5
1524d25da67256
hex124ab1647677

20112013031031 has 48 divisors (see below), whose sum is σ = 29874271789440. Its totient is φ = 13032155635200.

The previous prime is 20112013030957. The next prime is 20112013031039. The reversal of 20112013031031 is 13013031021102.

20112013031031 is a `hidden beast` number, since 201 + 1 + 20 + 130 + 310 + 3 + 1 = 666.

It is not a de Polignac number, because 20112013031031 - 213 = 20112013022839 is a prime.

It is a super-2 number, since 2×201120130310312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20112013030995 and 20112013031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112013031039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35332981 + ... + 35897681.

It is an arithmetic number, because the mean of its divisors is an integer number (622380662280).

Almost surely, 220112013031031 is an apocalyptic number.

20112013031031 is a deficient number, since it is larger than the sum of its proper divisors (9762258758409).

20112013031031 is a wasteful number, since it uses less digits than its factorization.

20112013031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565336 (or 565333 counting only the distinct ones).

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

Adding to 20112013031031 its reverse (13013031021102), we get a palindrome (33125044052133).

The spelling of 20112013031031 in words is "twenty trillion, one hundred twelve billion, thirteen million, thirty-one thousand, thirty-one".

Divisors: 1 3 9 47 141 269 313 423 807 939 2421 2817 12643 14711 37929 44133 84197 113787 132399 252591 564701 757773 1694103 3957259 5082309 11871777 26540947 35615331 79622841 151904569 176751413 238868523 455713707 530254239 1367141121 1590762717 7139514743 8307316411 21418544229 24921949233 47546130097 64255632687 74765847699 142638390291 427915170873 2234668114559 6704004343677 20112013031031