Search a number
-
+
11122023024 = 2432746323831
BaseRepresentation
bin10100101101110110…
…01001101001110000
31001201010001022100200
422112323021221300
5140234214214044
65035343315200
7542420431050
oct122673115160
931633038320
1011122023024
114798101572
1221a48abb00
1310832ac318
14777195560
15451644369
hex296ec9a70

11122023024 has 120 divisors (see below), whose sum is σ = 35651146752. Its totient is φ = 3170724480.

The previous prime is 11122023019. The next prime is 11122023049. The reversal of 11122023024 is 42032022111.

It is a happy number.

11122023024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111220230242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11122022988 and 11122023006.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 454789 + ... + 478619.

Almost surely, 211122023024 is an apocalyptic number.

11122023024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825573376).

11122023024 is an abundant number, since it is smaller than the sum of its proper divisors (24529123728).

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

11122023024 is a wasteful number, since it uses less digits than its factorization.

11122023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315 (or 24306 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11122023024 its reverse (42032022111), we get a palindrome (53154045135).

The spelling of 11122023024 in words is "eleven billion, one hundred twenty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 463 504 926 1008 1389 1852 2778 3241 3704 4167 5556 6482 7408 8334 9723 11112 12964 16668 19446 22224 23831 25928 29169 33336 38892 47662 51856 58338 66672 71493 77784 95324 116676 142986 155568 166817 190648 214479 233352 285972 333634 381296 428958 466704 500451 571944 667268 857916 1000902 1143888 1334536 1501353 1715832 2001804 2669072 3002706 3431664 4003608 6005412 8007216 11033753 12010824 22067506 24021648 33101259 44135012 66202518 77236271 88270024 99303777 132405036 154472542 176540048 198607554 231708813 264810072 308945084 397215108 463417626 529620144 617890168 695126439 794430216 926835252 1235780336 1390252878 1588860432 1853670504 2780505756 3707341008 5561011512 11122023024