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11231132112 = 24349479151
BaseRepresentation
bin10100111010110110…
…10111100111010000
31001222201100121220000
422131123113213100
5141000132211422
65054242050000
7545214022254
oct123533274720
931881317800
1011231132112
114843754872
122215349900
13109ca92005
14787878264
1545aee7cac
hex29d6d79d0

11231132112 has 100 divisors (see below), whose sum is σ = 32544036096. Its totient is φ = 3739348800.

The previous prime is 11231132111. The next prime is 11231132119. The reversal of 11231132112 is 21123113211.

It is a super-2 number, since 2×112311321122 (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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1222737 + ... + 1231887.

Almost surely, 211231132112 is an apocalyptic number.

11231132112 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 11231132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272018048).

11231132112 is an abundant number, since it is smaller than the sum of its proper divisors (21312903984).

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

11231132112 is an equidigital number, since it uses as much as digits as its factorization.

11231132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10103 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11231132112 its reverse (21123113211), we get a palindrome (32354245323).

It can be divided in two parts, 1123113211 and 2, that multiplied together give a palindrome (2246226422).

The spelling of 11231132112 in words is "eleven billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 947 1296 1894 2841 3788 5682 7576 8523 9151 11364 15152 17046 18302 22728 25569 27453 34092 36604 45456 51138 54906 68184 73208 76707 82359 102276 109812 136368 146416 153414 164718 204552 219624 247077 306828 329436 409104 439248 494154 613656 658872 741231 988308 1227312 1317744 1482462 1976616 2964924 3953232 5929848 8665997 11859696 17331994 25997991 34663988 51995982 69327976 77993973 103991964 138655952 155987946 207983928 233981919 311975892 415967856 467963838 623951784 701945757 935927676 1247903568 1403891514 1871855352 2807783028 3743710704 5615566056 11231132112