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114341232200 = 23521349189567
BaseRepresentation
bin110101001111101000…
…1001011111001001000
3101221010122012102101212
41222133101023321020
53333132323412300
6124305545232252
711155324303046
oct1523721137110
9357118172355
10114341232200
1144545710118
121a1b0792688
13aa22a24a60
1457699a1396
152e932c3935
hex1a9f44be48

114341232200 has 96 divisors (see below), whose sum is σ = 286879138560. Its totient is φ = 42131846400.

The previous prime is 114341232199. The next prime is 114341232223. The reversal of 114341232200 is 2232143411.

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 23 ways as a sum of consecutive naturals, for example, 1231817 + ... + 1321383.

It is an arithmetic number, because the mean of its divisors is an integer number (2988324360).

Almost surely, 2114341232200 is an apocalyptic number.

114341232200 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 114341232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143439569280).

114341232200 is an abundant number, since it is smaller than the sum of its proper divisors (172537906360).

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

114341232200 is a wasteful number, since it uses less digits than its factorization.

114341232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90087 (or 90078 counting only the distinct ones).

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

Adding to 114341232200 its reverse (2232143411), we get a palindrome (116573375611).

The spelling of 114341232200 in words is "one hundred fourteen billion, three hundred forty-one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 491 520 650 982 1300 1964 2455 2600 3928 4910 6383 9820 12275 12766 19640 24550 25532 31915 49100 51064 63830 89567 98200 127660 159575 179134 255320 319150 358268 447835 638300 716536 895670 1164371 1276600 1791340 2239175 2328742 3582680 4478350 4657484 5821855 8956700 9314968 11643710 17913400 23287420 29109275 43977397 46574840 58218550 87954794 116437100 175909588 219886985 232874200 351819176 439773970 571706161 879547940 1099434925 1143412322 1759095880 2198869850 2286824644 2858530805 4397739700 4573649288 5717061610 8795479400 11434123220 14292654025 22868246440 28585308050 57170616100 114341232200