Search a number
-
+
114003202124 = 22716324978791
BaseRepresentation
bin110101000101100011…
…1101101000001001100
3101220021002010201022102
41222023013231001030
53331434304431444
6124212232134232
711144051141450
oct1521307550114
9356232121272
10114003202124
1144391921119
121a117537378
13a99a99cc66
145736b2c660
152e737a184e
hex1a8b1ed04c

114003202124 has 24 divisors (see below), whose sum is σ = 229405225728. Its totient is φ = 48558767760.

The previous prime is 114003202123. The next prime is 114003202141. The reversal of 114003202124 is 421202300411.

It is a super-2 number, since 2×1140032021242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114003202096 and 114003202105.

It is not an unprimeable number, because it can be changed into a prime (114003202123) by changing a digit.

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, 12484832 + ... + 12493959.

It is an arithmetic number, because the mean of its divisors is an integer number (9558551072).

Almost surely, 2114003202124 is an apocalyptic number.

114003202124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114003202124 is an abundant number, since it is smaller than the sum of its proper divisors (115402023604).

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

114003202124 is a wasteful number, since it uses less digits than its factorization.

114003202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24978965 (or 24978963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114003202124 its reverse (421202300411), we get a palindrome (535205502535).

The spelling of 114003202124 in words is "one hundred fourteen billion, three million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 163 326 652 1141 2282 4564 24978791 49957582 99915164 174851537 349703074 699406148 4071542933 8143085866 16286171732 28500800531 57001601062 114003202124