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111140003430 = 232513914296217
BaseRepresentation
bin110011110000001110…
…1011101111001100110
3101121212112112011002100
41213200131131321212
53310103320102210
6123020151552530
711013103304421
oct1474035357146
9347775464070
10111140003430
11431526a8605
121965868b746
13a632745b51
1455447769b8
152d572315c0
hex19e075de66

111140003430 has 96 divisors (see below), whose sum is σ = 291293402400. Its totient is φ = 29398795776.

The previous prime is 111140003417. The next prime is 111140003479. The reversal of 111140003430 is 34300041111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17873682 + ... + 17879898.

It is an arithmetic number, because the mean of its divisors is an integer number (3034306275).

Almost surely, 2111140003430 is an apocalyptic number.

111140003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111140003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145646701200).

111140003430 is an abundant number, since it is smaller than the sum of its proper divisors (180153398970).

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

111140003430 is a wasteful number, since it uses less digits than its factorization.

111140003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7795 counting only the distinct ones).

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

Adding to 111140003430 its reverse (34300041111), we get a palindrome (145440044541).

The spelling of 111140003430 in words is "one hundred eleven billion, one hundred forty million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 1429 2085 2502 2858 4170 4287 6217 6255 7145 8574 12434 12510 12861 14290 18651 21435 25722 31085 37302 42870 55953 62170 64305 93255 111906 128610 186510 198631 279765 397262 559530 595893 864163 993155 1191786 1728326 1787679 1986310 2592489 2979465 3575358 4320815 5184978 5958930 7777467 8641630 8884093 8938395 12962445 15554934 17768186 17876790 25924890 26652279 38887335 44420465 53304558 77774670 79956837 88840930 133261395 159913674 266522790 399784185 799568370 1234888927 2469777854 3704666781 6174444635 7409333562 11114000343 12348889270 18523333905 22228000686 37046667810 55570001715 111140003430