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111013221132 = 223211292333337
BaseRepresentation
bin110011101100011100…
…1110101001100001100
3101121112200221221110200
41213120321311030030
53304323341034012
6122555422333500
711010003544632
oct1473071651414
9347480857420
10111013221132
1143098084150
121962212a290
13a6123b5b38
1455319b3352
152d4b03b3dc
hex19d8e7530c

111013221132 has 108 divisors (see below), whose sum is σ = 317048438616. Its totient is φ = 32480259840.

The previous prime is 111013221083. The next prime is 111013221157. The reversal of 111013221132 is 231122310111.

It is a super-2 number, since 2×1110132211322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 166368 + ... + 499704.

Almost surely, 2111013221132 is an apocalyptic number.

111013221132 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 111013221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158524219308).

111013221132 is an abundant number, since it is smaller than the sum of its proper divisors (206035217484).

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

111013221132 is a wasteful number, since it uses less digits than its factorization.

111013221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333416 (or 333382 counting only the distinct ones).

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

Adding to 111013221132 its reverse (231122310111), we get a palindrome (342135531243).

The spelling of 111013221132 in words is "one hundred eleven billion, thirteen million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 841 957 1044 1276 1682 1914 2523 2871 3364 3828 5046 5742 7569 9251 10092 11484 15138 18502 27753 30276 37004 55506 83259 111012 166518 333036 333337 666674 1000011 1333348 2000022 3000033 3666707 4000044 6000066 7333414 9666773 11000121 12000132 14666828 19333546 22000242 29000319 33000363 38667092 44000484 58000638 66000726 87000957 106334503 116001276 132001452 174001914 212669006 280336417 319003509 348003828 425338012 560672834 638007018 841009251 957010527 1121345668 1276014036 1682018502 1914021054 2523027753 3083700587 3364037004 3828042108 5046055506 6167401174 9251101761 10092111012 12334802348 18502203522 27753305283 37004407044 55506610566 111013221132