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111102330012 = 22329379918707
BaseRepresentation
bin110011101111000110…
…1110000010010011100
3101121202220122010212120
41213132031300102130
53310014144030022
6123012324302540
711012135136402
oct1473615602234
9347686563776
10111102330012
1143133406a53
1219647b41a50
13a6279b529b
14553d76b472
152d53c8dd5c
hex19de37049c

111102330012 has 96 divisors (see below), whose sum is σ = 275735685120. Its totient is φ = 34751566080.

The previous prime is 111102329963. The next prime is 111102330029. The reversal of 111102330012 is 210033201111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111102329973 and 111102330000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12755763 + ... + 12764469.

It is an arithmetic number, because the mean of its divisors is an integer number (2872246720).

Almost surely, 2111102330012 is an apocalyptic number.

111102330012 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 111102330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137867842560).

111102330012 is an abundant number, since it is smaller than the sum of its proper divisors (164633355108).

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

111102330012 is a wasteful number, since it uses less digits than its factorization.

111102330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 111102330012 its reverse (210033201111), we get a palindrome (321135531123).

The spelling of 111102330012 in words is "one hundred eleven billion, one hundred two million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 991 1073 1982 2146 2973 3219 3964 4292 5946 6438 8707 11892 12876 17414 26121 28739 34828 36667 52242 57478 73334 86217 104484 110001 114956 146668 172434 220002 252503 322159 344868 440004 505006 644318 757509 966477 1010012 1063343 1288636 1515018 1932954 2126686 3030036 3190029 3865908 4253372 6380058 8628637 9342611 12760116 17257274 18685222 25885911 28027833 34514548 37370444 51771822 56055666 103543644 112111332 250230473 319259569 500460946 638519138 750691419 957778707 1000921892 1277038276 1501382838 1915557414 3002765676 3831114828 9258527501 18517055002 27775582503 37034110004 55551165006 111102330012