Search a number
-
+
102322882728 = 233211831556573
BaseRepresentation
bin101111101001011101…
…0110100100010101000
3100210010001120000022100
41133102322310202220
53134024124221403
6115001222253400
710251441103233
oct1372272644250
9323101500270
10102322882728
113a4386662a0
12179b7887260
139858b37171
144d4976841a
1529dd12b2a3
hex17d2eb48a8

102322882728 has 96 divisors (see below), whose sum is σ = 305960185440. Its totient is φ = 30633336960.

The previous prime is 102322882721. The next prime is 102322882763. The reversal of 102322882728 is 827288223201.

It is not an unprimeable number, because it can be changed into a prime (102322882721) by changing a digit.

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, 712551 + ... + 844022.

It is an arithmetic number, because the mean of its divisors is an integer number (3187085265).

Almost surely, 2102322882728 is an apocalyptic number.

102322882728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102322882728 is an abundant number, since it is smaller than the sum of its proper divisors (203637302712).

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

102322882728 is a wasteful number, since it uses less digits than its factorization.

102322882728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556679 (or 1556672 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 102322882728 in words is "one hundred two billion, three hundred twenty-two million, eight hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 21912 32868 65736 1556573 3113146 4669719 6226292 9339438 12452584 14009157 17122303 18678876 28018314 34244606 37357752 51366909 56036628 68489212 102733818 112073256 129195559 136978424 154100727 205467636 258391118 308201454 387586677 410935272 516782236 616402908 775173354 1033564472 1162760031 1232805816 1421151149 1550346708 2325520062 2842302298 3100693416 4263453447 4651040124 5684604596 8526906894 9302080248 11369209192 12790360341 17053813788 25580720682 34107627576 51161441364 102322882728