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114863431100 = 225211414575573
BaseRepresentation
bin110101011111001100…
…1001101110110111100
3101222111000210212121212
41222332121031312330
53340220014243400
6124433441543552
711204265024605
oct1527631156674
9358430725555
10114863431100
1144793459960
121a317644bb8
13aaa6c800a2
1457b9094dac
152ec4074335
hex1abe64ddbc

114863431100 has 144 divisors (see below), whose sum is σ = 279204692256. Its totient is φ = 40653312000.

The previous prime is 114863431099. The next prime is 114863431103. The reversal of 114863431100 is 1134368411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114863431103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20607914 + ... + 20613486.

It is an arithmetic number, because the mean of its divisors is an integer number (1938921474).

Almost surely, 2114863431100 is an apocalyptic number.

114863431100 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 114863431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139602346128).

114863431100 is an abundant number, since it is smaller than the sum of its proper divisors (164341261156).

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

114863431100 is a wasteful number, since it uses less digits than its factorization.

114863431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 114863431100 its reverse (1134368411), we get a palindrome (115997799511).

The spelling of 114863431100 in words is "one hundred fourteen billion, eight hundred sixty-three million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 457 550 820 902 914 1025 1100 1804 1828 2050 2255 2285 4100 4510 4570 5027 5573 9020 9140 10054 11146 11275 11425 18737 20108 22292 22550 22850 25135 27865 37474 45100 45700 50270 55730 61303 74948 93685 100540 111460 122606 125675 139325 187370 206107 228493 245212 251350 278650 306515 374740 412214 456986 468425 502700 557300 613030 824428 913972 936850 1030535 1142465 1226060 1532575 1873700 2061070 2284930 2513423 2546861 3065150 4122140 4569860 5026846 5093722 5152675 5712325 6130300 10053692 10187444 10305350 11424650 12567115 12734305 20610700 22849300 25134230 25468610 28015471 50268460 50937220 56030942 62835575 63671525 104421301 112061884 125671150 127343050 140077355 208842602 251342300 254686100 280154710 417685204 522106505 560309420 700386775 1044213010 1148634311 1400773550 2088426020 2297268622 2610532525 2801547100 4594537244 5221065050 5743171555 10442130100 11486343110 22972686220 28715857775 57431715550 114863431100