Search a number
-
+
11113203130032 = 2432357791741877
BaseRepresentation
bin1010000110110111111010…
…0001100101111010110000
31110100102010020022112001010
42201231332201211322300
52424034320000130112
635345200211310520
72224621351001313
oct241557641457260
943312106275033
1011113203130032
1135a50a04a0023
1212b59912ab440
13627c80417373
142a5c4bd1a97a
1514412eabc63c
hexa1b7e865eb0

11113203130032 has 80 divisors (see below), whose sum is σ = 29962531203840. Its totient is φ = 3542724953856.

The previous prime is 11113203130031. The next prime is 11113203130033. The reversal of 11113203130032 is 23003130231111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11113203130031) and next prime (11113203130033).

It is a super-4 number, since 4×111132031300324 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11113203129990 and 11113203130008.

It is not an unprimeable number, because it can be changed into a prime (11113203130031) 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 15 ways as a sum of consecutive naturals, for example, 5509078 + ... + 7250954.

It is an arithmetic number, because the mean of its divisors is an integer number (374531640048).

Almost surely, 211113203130032 is an apocalyptic number.

11113203130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11113203130032 is an abundant number, since it is smaller than the sum of its proper divisors (18849328073808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11113203130032 is a wasteful number, since it uses less digits than its factorization.

11113203130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747690 (or 1747684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11113203130032 its reverse (23003130231111), we get a palindrome (34116333361143).

The spelling of 11113203130032 in words is "eleven trillion, one hundred thirteen billion, two hundred three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 5779 11558 17337 23116 34674 46232 69348 92464 132917 138696 265834 277392 398751 531668 797502 1063336 1595004 1741877 2126672 3190008 3483754 5225631 6380016 6967508 10451262 13935016 20902524 27870032 40063171 41805048 80126342 83610096 120189513 160252684 240379026 320505368 480758052 641010736 961516104 1923032208 10066307183 20132614366 30198921549 40265228732 60397843098 80530457464 120795686196 161060914928 231525065209 241591372392 463050130418 483182744784 694575195627 926100260836 1389150391254 1852200521672 2778300782508 3704401043344 5556601565016 11113203130032