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111003434240 = 285467185699
BaseRepresentation
bin110011101100001010…
…0011111110100000000
3101121112000112201101012
41213120110133310000
53304313334343430
6122554432500052
711006524423466
oct1473024376400
9347460481335
10111003434240
11430925aa106
121961a9aa628
13a61036a28a
145530586836
152d4a256695
hex19d851fd00

111003434240 has 72 divisors (see below), whose sum is σ = 266458701600. Its totient is φ = 44306057216.

The previous prime is 111003434239. The next prime is 111003434287. The reversal of 111003434240 is 42434300111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504911 + ... + 690609.

It is an arithmetic number, because the mean of its divisors is an integer number (3700815300).

Almost surely, 2111003434240 is an apocalyptic number.

111003434240 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 111003434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133229350800).

111003434240 is an abundant number, since it is smaller than the sum of its proper divisors (155455267360).

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

111003434240 is an equidigital number, since it uses as much as digits as its factorization.

111003434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186187 (or 186173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 111003434240 its reverse (42434300111), we get a palindrome (153437734351).

The spelling of 111003434240 in words is "one hundred eleven billion, three million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 467 640 934 1280 1868 2335 3736 4670 7472 9340 14944 18680 29888 37360 59776 74720 119552 149440 185699 298880 371398 597760 742796 928495 1485592 1856990 2971184 3713980 5942368 7427960 11884736 14855920 23769472 29711840 47538944 59423680 86721433 118847360 173442866 237694720 346885732 433607165 693771464 867214330 1387542928 1734428660 2775085856 3468857320 5550171712 6937714640 11100343424 13875429280 22200686848 27750858560 55501717120 111003434240