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111102241320 = 2332574177561
BaseRepresentation
bin110011101111000110…
…1011010101000101000
3101121202220110122012200
41213132031122220220
53310014133210240
6123012322340200
711012134320000
oct1473615325050
9347686418180
10111102241320
1143133356354
1219647aba660
13a627983ac5
14553d747000
152d53c72930
hex19de35aa28

111102241320 has 480 divisors, whose sum is σ = 446075271720. Its totient is φ = 23897825280.

The previous prime is 111102241309. The next prime is 111102241333. The reversal of 111102241320 is 23142201111.

111102241320 is a `hidden beast` number, since 1 + 1 + 1 + 102 + 241 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89751771396 + 21350469924 = 299586^2 + 146118^2 .

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 = 111102241293 and 111102241302.

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 119 ways as a sum of consecutive naturals, for example, 14690340 + ... + 14697900.

Almost surely, 2111102241320 is an apocalyptic number.

111102241320 is a gapful number since it is divisible by the number (10) 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 111102241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223037635860).

111102241320 is an abundant number, since it is smaller than the sum of its proper divisors (334973030400).

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

111102241320 is a wasteful number, since it uses less digits than its factorization.

111102241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111102241320 its reverse (23142201111), we get a palindrome (134244442431).

The spelling of 111102241320 in words is "one hundred eleven billion, one hundred two million, two hundred forty-one thousand, three hundred twenty".