Search a number
-
+
102330242982 = 232115916752453
BaseRepresentation
bin101111101001101011…
…0111001011110100110
3100210010120101221200100
41133103112321132212
53134033020233412
6115002044124530
710251560466552
oct1372326713646
9323116357610
10102330242982
113a441833150
12179ba236746
13985a513346
144d4a722862
1529ddad1edc
hex17d35b97a6

102330242982 has 96 divisors (see below), whose sum is σ = 247448597760. Its totient is φ = 30300471360.

The previous prime is 102330242957. The next prime is 102330243013. The reversal of 102330242982 is 289242033201.

102330242982 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 242 + 9 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

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, 1924668 + ... + 1977120.

It is an arithmetic number, because the mean of its divisors is an integer number (2577589560).

Almost surely, 2102330242982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102330242982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123724298880).

102330242982 is an abundant number, since it is smaller than the sum of its proper divisors (145118354778).

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

102330242982 is a wasteful number, since it uses less digits than its factorization.

102330242982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52698 (or 52695 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 102330242982 in words is "one hundred two billion, three hundred thirty million, two hundred forty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 167 177 198 334 354 501 531 649 1002 1062 1298 1503 1837 1947 3006 3674 3894 5511 5841 9853 11022 11682 16533 19706 29559 33066 52453 59118 88677 104906 108383 157359 177354 216766 314718 325149 472077 576983 650298 944154 975447 1153966 1730949 1950894 3094727 3461898 5192847 6189454 8759651 9284181 10385694 17519302 18568362 26278953 27852543 34041997 52557906 55705086 68083994 78836859 96356161 102125991 157673718 192712322 204251982 289068483 306377973 516819409 578136966 612755946 867205449 1033638818 1550458227 1734410898 3100916454 4651374681 5685013499 9302749362 11370026998 17055040497 34110080994 51165121491 102330242982