Search a number
-
+
102334322440 = 2357252211389
BaseRepresentation
bin101111101001110011…
…0011101011100001000
3100210010212002012122101
41133103212131130020
53134040041304230
6115002311403144
710251640250200
oct1372346353410
9323125065571
10102334322440
113a44406a0a9
12179bb6834b4
13985b31111c
144d4b0a5400
1529de13aaca
hex17d399d708

102334322440 has 48 divisors (see below), whose sum is σ = 267844430700. Its totient is φ = 35086052736.

The previous prime is 102334322401. The next prime is 102334322471. The reversal of 102334322440 is 44223433201.

It can be written as a sum of positive squares in 2 ways, for example, as 102165893956 + 168428484 = 319634^2 + 12978^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102334322399 and 102334322408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26103735 + ... + 26107654.

Almost surely, 2102334322440 is an apocalyptic number.

102334322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102334322440 is an abundant number, since it is smaller than the sum of its proper divisors (165510108260).

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

102334322440 is a wasteful number, since it uses less digits than its factorization.

102334322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52211414 (or 52211403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 102334322440 its reverse (44223433201), we get a palindrome (146557755641).

The spelling of 102334322440 in words is "one hundred two billion, three hundred thirty-four million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 52211389 104422778 208845556 261056945 365479723 417691112 522113890 730959446 1044227780 1461918892 1827398615 2088455560 2558358061 2923837784 3654797230 5116716122 7309594460 10233432244 12791790305 14619188920 20466864488 25583580610 51167161220 102334322440