Search a number
-
+
11231122032 = 24321314814051
BaseRepresentation
bin10100111010110110…
…10101001001110000
31001222201100010001200
422131123111021300
5141000131401112
65054241531200
7545213651004
oct123533251160
931881303050
1011231122032
114843748239
122215343b00
13109ca8a550
14787874704
1545aee4cdc
hex29d6d5270

11231122032 has 120 divisors (see below), whose sum is σ = 33880571088. Its totient is φ = 3452544000.

The previous prime is 11231121989. The next prime is 11231122037. The reversal of 11231122032 is 23022113211.

11231122032 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 2×112311220322 (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 = 11231121996 and 11231122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231122037) 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 23 ways as a sum of consecutive naturals, for example, 2770407 + ... + 2774457.

Almost surely, 211231122032 is an apocalyptic number.

11231122032 is a gapful number since it is divisible by the number (12) 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 11231122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940285544).

11231122032 is an abundant number, since it is smaller than the sum of its proper divisors (22649449056).

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

11231122032 is a wasteful number, since it uses less digits than its factorization.

11231122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11231122032 its reverse (23022113211), we get a palindrome (34253235243).

The spelling of 11231122032 in words is "eleven billion, two hundred thirty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1481 1872 2962 4051 4443 5924 8102 8886 11848 12153 13329 16204 17772 19253 23696 24306 26658 32408 35544 36459 38506 48612 52663 53316 57759 64816 71088 72918 77012 97224 105326 106632 115518 145836 154024 157989 173277 194448 210652 213264 231036 291672 308048 315978 346554 421304 462072 473967 583344 631956 693108 842608 924144 947934 1263912 1386216 1895868 2527824 2772432 3791736 5999531 7583472 11999062 17998593 23998124 35997186 47996248 53995779 71994372 77993903 95992496 107991558 143988744 155987806 215983116 233981709 287977488 311975612 431966232 467963418 623951224 701945127 863932464 935926836 1247902448 1403890254 1871853672 2807780508 3743707344 5615561016 11231122032